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Simplifying 6x2 + -18 = 5x2 + -3x Reorder the terms: -18 + 6x2 = 5x2 + -3x Reorder the terms: -18 + 6x2 = -3x + 5x2 Solving -18 + 6x2 = -3x + 5x2 Solving for variable 'x'. Reorder the terms: -18 + 3x + 6x2 + -5x2 = -3x + 5x2 + 3x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 -18 + 3x + 1x2 = -3x + 5x2 + 3x + -5x2 Reorder the terms: -18 + 3x + 1x2 = -3x + 3x + 5x2 + -5x2 Combine like terms: -3x + 3x = 0 -18 + 3x + 1x2 = 0 + 5x2 + -5x2 -18 + 3x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -18 + 3x + 1x2 = 0 Factor a trinomial. (-6 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -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 = {-6, 3}
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