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Simplifying 5x2 = 32x + 64 Reorder the terms: 5x2 = 64 + 32x Solving 5x2 = 64 + 32x Solving for variable 'x'. Reorder the terms: -64 + -32x + 5x2 = 64 + 32x + -64 + -32x Reorder the terms: -64 + -32x + 5x2 = 64 + -64 + 32x + -32x Combine like terms: 64 + -64 = 0 -64 + -32x + 5x2 = 0 + 32x + -32x -64 + -32x + 5x2 = 32x + -32x Combine like terms: 32x + -32x = 0 -64 + -32x + 5x2 = 0 Factor a trinomial. (-8 + -5x)(8 + -1x) = 0Subproblem 1
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 = -1.6Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-1.6, 8}
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