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Simplifying -1x2 + 15x = 5x + 16 Reorder the terms: 15x + -1x2 = 5x + 16 Reorder the terms: 15x + -1x2 = 16 + 5x Solving 15x + -1x2 = 16 + 5x Solving for variable 'x'. Reorder the terms: -16 + 15x + -5x + -1x2 = 16 + 5x + -16 + -5x Combine like terms: 15x + -5x = 10x -16 + 10x + -1x2 = 16 + 5x + -16 + -5x Reorder the terms: -16 + 10x + -1x2 = 16 + -16 + 5x + -5x Combine like terms: 16 + -16 = 0 -16 + 10x + -1x2 = 0 + 5x + -5x -16 + 10x + -1x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 10x + -1x2 = 0 Factor a trinomial. (-8 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 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 = {8, 2}
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