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Simplifying x(7x + 16) = 2x2 + -2x + 8 Reorder the terms: x(16 + 7x) = 2x2 + -2x + 8 (16 * x + 7x * x) = 2x2 + -2x + 8 (16x + 7x2) = 2x2 + -2x + 8 Reorder the terms: 16x + 7x2 = 8 + -2x + 2x2 Solving 16x + 7x2 = 8 + -2x + 2x2 Solving for variable 'x'. Reorder the terms: -8 + 16x + 2x + 7x2 + -2x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2 Combine like terms: 16x + 2x = 18x -8 + 18x + 7x2 + -2x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -8 + 18x + 5x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2 Reorder the terms: -8 + 18x + 5x2 = 8 + -8 + -2x + 2x + 2x2 + -2x2 Combine like terms: 8 + -8 = 0 -8 + 18x + 5x2 = 0 + -2x + 2x + 2x2 + -2x2 -8 + 18x + 5x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -8 + 18x + 5x2 = 0 + 2x2 + -2x2 -8 + 18x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 + 18x + 5x2 = 0 Factor a trinomial. (-4 + -1x)(2 + -5x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-4, 0.4}
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