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Simplifying 5x2 + 10x + -24 = 16 + -7x Reorder the terms: -24 + 10x + 5x2 = 16 + -7x Solving -24 + 10x + 5x2 = 16 + -7x Solving for variable 'x'. Reorder the terms: -24 + -16 + 10x + 7x + 5x2 = 16 + -7x + -16 + 7x Combine like terms: -24 + -16 = -40 -40 + 10x + 7x + 5x2 = 16 + -7x + -16 + 7x Combine like terms: 10x + 7x = 17x -40 + 17x + 5x2 = 16 + -7x + -16 + 7x Reorder the terms: -40 + 17x + 5x2 = 16 + -16 + -7x + 7x Combine like terms: 16 + -16 = 0 -40 + 17x + 5x2 = 0 + -7x + 7x -40 + 17x + 5x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 17x + 5x2 = 0 Factor a trinomial. (-5 + -1x)(8 + -5x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-5, 1.6}
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