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Simplifying 5x2 = 17x + 12 Reorder the terms: 5x2 = 12 + 17x Solving 5x2 = 12 + 17x Solving for variable 'x'. Reorder the terms: -12 + -17x + 5x2 = 12 + 17x + -12 + -17x Reorder the terms: -12 + -17x + 5x2 = 12 + -12 + 17x + -17x Combine like terms: 12 + -12 = 0 -12 + -17x + 5x2 = 0 + 17x + -17x -12 + -17x + 5x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -12 + -17x + 5x2 = 0 Factor a trinomial. (-3 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 4}
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