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Simplifying 3x2 = 12 + -5x Solving 3x2 = 12 + -5x Solving for variable 'x'. Reorder the terms: -12 + 5x + 3x2 = 12 + -5x + -12 + 5x Reorder the terms: -12 + 5x + 3x2 = 12 + -12 + -5x + 5x Combine like terms: 12 + -12 = 0 -12 + 5x + 3x2 = 0 + -5x + 5x -12 + 5x + 3x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 5x + 3x2 = 0 Factor a trinomial. (-3 + -1x)(4 + -3x) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-3, 1.333333333}
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