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Simplifying 5x2 + -4x + -72 = -8 Reorder the terms: -72 + -4x + 5x2 = -8 Solving -72 + -4x + 5x2 = -8 Solving for variable 'x'. Reorder the terms: -72 + 8 + -4x + 5x2 = -8 + 8 Combine like terms: -72 + 8 = -64 -64 + -4x + 5x2 = -8 + 8 Combine like terms: -8 + 8 = 0 -64 + -4x + 5x2 = 0 Factor a trinomial. (-16 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-16 + -5x)' equal to zero and attempt to solve: Simplifying -16 + -5x = 0 Solving -16 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 0 + 16 -5x = 0 + 16 Combine like terms: 0 + 16 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-3.2, 4}
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