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Simplifying 3x2 + -2x = 456 Reorder the terms: -2x + 3x2 = 456 Solving -2x + 3x2 = 456 Solving for variable 'x'. Reorder the terms: -456 + -2x + 3x2 = 456 + -456 Combine like terms: 456 + -456 = 0 -456 + -2x + 3x2 = 0 Factor a trinomial. (-12 + -1x)(38 + -3x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(38 + -3x)' equal to zero and attempt to solve: Simplifying 38 + -3x = 0 Solving 38 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -3x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 0 + -38 -3x = 0 + -38 Combine like terms: 0 + -38 = -38 -3x = -38 Divide each side by '-3'. x = 12.66666667 Simplifying x = 12.66666667Solution
x = {-12, 12.66666667}
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