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Simplifying 5x2 = 12x + 32 Reorder the terms: 5x2 = 32 + 12x Solving 5x2 = 32 + 12x Solving for variable 'x'. Reorder the terms: -32 + -12x + 5x2 = 32 + 12x + -32 + -12x Reorder the terms: -32 + -12x + 5x2 = 32 + -32 + 12x + -12x Combine like terms: 32 + -32 = 0 -32 + -12x + 5x2 = 0 + 12x + -12x -32 + -12x + 5x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -12x + 5x2 = 0 Factor a trinomial. (-8 + -5x)(4 + -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 '(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 = {-1.6, 4}
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