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Simplifying 5x2 = 12x + 9 Reorder the terms: 5x2 = 9 + 12x Solving 5x2 = 9 + 12x Solving for variable 'x'. Reorder the terms: -9 + -12x + 5x2 = 9 + 12x + -9 + -12x Reorder the terms: -9 + -12x + 5x2 = 9 + -9 + 12x + -12x Combine like terms: 9 + -9 = 0 -9 + -12x + 5x2 = 0 + 12x + -12x -9 + -12x + 5x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -12x + 5x2 = 0 Factor a trinomial. (-3 + -5x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.6, 3}
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