Tiger shows you, step by step, how to solve YOUR Quadratic Equations 2x^2-5x-12=0 by Completing the Square, Quadratic formula or, whenever possible, by Factoring
Detailed step by step solution for factor 2X^2+5X-12
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Solve quadratic equation 2x^2+5x-12 by factoring. Tiger Algebra's step-by-step solution shows you how to solve a quadratic equation by factoring.
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To solve the equation, factor the left hand side by grouping. First, left hand side needs to be rewritten as 2x^ {2}+ax+bx-12. To find a and b, set up a system to be solved.
Hint: In the given question, we are given a quadratic equation in the form a x 2 + b x + c and we have to find its factor. The product of the zeroes is a c = 2 × (− 12) = − 24 and the sum is b = − 5. We have to find the factors which satisfy these conditions. So, we have, 24 = 2 × 12 = 4 × 6 = 8 × 3. We can see that 8 and 3 satisfy the given conditions with appropriate signs. Hence ...
To factor the quadratic equation 2x2 + 5x − 12, we multiply the coefficient of x2 by the constant term, find factors that sum to the middle coefficient, and then regroup and factor. The final factorization is (2x − 3)(x +4). This method systematically breaks down the process step-by-step.
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2.1 Factoring 2x2-5x-12 The first term is, 2x2 its coefficient is 2 . The middle term is, -5x its coefficient is -5 . The last term, "the constant", is -12 Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24 Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
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Detailed step by step solution for factor 2x+5x-12
Trying to factor by splitting the middle term 2.1 Factoring 2x2+5x-12 The first term is, 2x2 its coefficient is 2. The middle term is, +5x its coefficient is 5. The last term, "the constant", is -12 Step-1 : Multiply the coefficient of the first term by the constant 2•-12= -24 Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5.
