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Simplifying 112 = 5x2 + -46x Reorder the terms: 112 = -46x + 5x2 Solving 112 = -46x + 5x2 Solving for variable 'x'. Reorder the terms: 112 + 46x + -5x2 = -46x + 46x + 5x2 + -5x2 Combine like terms: -46x + 46x = 0 112 + 46x + -5x2 = 0 + 5x2 + -5x2 112 + 46x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 112 + 46x + -5x2 = 0 Factor a trinomial. (56 + -5x)(2 + x) = 0Subproblem 1
Set the factor '(56 + -5x)' equal to zero and attempt to solve: Simplifying 56 + -5x = 0 Solving 56 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -5x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -5x = 0 + -56 -5x = 0 + -56 Combine like terms: 0 + -56 = -56 -5x = -56 Divide each side by '-5'. x = 11.2 Simplifying x = 11.2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {11.2, -2}
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