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Simplifying 3x2 + -5x = 2x2 + 6 Reorder the terms: -5x + 3x2 = 2x2 + 6 Reorder the terms: -5x + 3x2 = 6 + 2x2 Solving -5x + 3x2 = 6 + 2x2 Solving for variable 'x'. Reorder the terms: -6 + -5x + 3x2 + -2x2 = 6 + 2x2 + -6 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -6 + -5x + 1x2 = 6 + 2x2 + -6 + -2x2 Reorder the terms: -6 + -5x + 1x2 = 6 + -6 + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -6 + -5x + 1x2 = 0 + 2x2 + -2x2 -6 + -5x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + -5x + 1x2 = 0 Factor a trinomial. (-1 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
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 = 6Solution
x = {-1, 6}
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