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Simplifying x(5x + 6) = 2x2 + -2x + 16 Reorder the terms: x(6 + 5x) = 2x2 + -2x + 16 (6 * x + 5x * x) = 2x2 + -2x + 16 (6x + 5x2) = 2x2 + -2x + 16 Reorder the terms: 6x + 5x2 = 16 + -2x + 2x2 Solving 6x + 5x2 = 16 + -2x + 2x2 Solving for variable 'x'. Reorder the terms: -16 + 6x + 2x + 5x2 + -2x2 = 16 + -2x + 2x2 + -16 + 2x + -2x2 Combine like terms: 6x + 2x = 8x -16 + 8x + 5x2 + -2x2 = 16 + -2x + 2x2 + -16 + 2x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 -16 + 8x + 3x2 = 16 + -2x + 2x2 + -16 + 2x + -2x2 Reorder the terms: -16 + 8x + 3x2 = 16 + -16 + -2x + 2x + 2x2 + -2x2 Combine like terms: 16 + -16 = 0 -16 + 8x + 3x2 = 0 + -2x + 2x + 2x2 + -2x2 -16 + 8x + 3x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -16 + 8x + 3x2 = 0 + 2x2 + -2x2 -16 + 8x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -16 + 8x + 3x2 = 0 Factor a trinomial. (-4 + -1x)(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-4, 1.333333333}
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