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Simplifying 5x2 + 16x + -40 = 12 Reorder the terms: -40 + 16x + 5x2 = 12 Solving -40 + 16x + 5x2 = 12 Solving for variable 'x'. Reorder the terms: -40 + -12 + 16x + 5x2 = 12 + -12 Combine like terms: -40 + -12 = -52 -52 + 16x + 5x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -52 + 16x + 5x2 = 0 Factor a trinomial. (-26 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-26 + -5x)' equal to zero and attempt to solve: Simplifying -26 + -5x = 0 Solving -26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = 0 + 26 -5x = 0 + 26 Combine like terms: 0 + 26 = 26 -5x = 26 Divide each side by '-5'. x = -5.2 Simplifying x = -5.2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-5.2, 2}
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