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Simplifying 5x2 = 16x + 16 Reorder the terms: 5x2 = 16 + 16x Solving 5x2 = 16 + 16x Solving for variable 'x'. Reorder the terms: -16 + -16x + 5x2 = 16 + 16x + -16 + -16x Reorder the terms: -16 + -16x + 5x2 = 16 + -16 + 16x + -16x Combine like terms: 16 + -16 = 0 -16 + -16x + 5x2 = 0 + 16x + -16x -16 + -16x + 5x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -16 + -16x + 5x2 = 0 Factor a trinomial. (-4 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 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 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, 4}
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