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Simplifying 9x2 + -2x + 4 = 8x2 + 6x + -8 Reorder the terms: 4 + -2x + 9x2 = 8x2 + 6x + -8 Reorder the terms: 4 + -2x + 9x2 = -8 + 6x + 8x2 Solving 4 + -2x + 9x2 = -8 + 6x + 8x2 Solving for variable 'x'. Reorder the terms: 4 + 8 + -2x + -6x + 9x2 + -8x2 = -8 + 6x + 8x2 + 8 + -6x + -8x2 Combine like terms: 4 + 8 = 12 12 + -2x + -6x + 9x2 + -8x2 = -8 + 6x + 8x2 + 8 + -6x + -8x2 Combine like terms: -2x + -6x = -8x 12 + -8x + 9x2 + -8x2 = -8 + 6x + 8x2 + 8 + -6x + -8x2 Combine like terms: 9x2 + -8x2 = 1x2 12 + -8x + 1x2 = -8 + 6x + 8x2 + 8 + -6x + -8x2 Reorder the terms: 12 + -8x + 1x2 = -8 + 8 + 6x + -6x + 8x2 + -8x2 Combine like terms: -8 + 8 = 0 12 + -8x + 1x2 = 0 + 6x + -6x + 8x2 + -8x2 12 + -8x + 1x2 = 6x + -6x + 8x2 + -8x2 Combine like terms: 6x + -6x = 0 12 + -8x + 1x2 = 0 + 8x2 + -8x2 12 + -8x + 1x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 12 + -8x + 1x2 = 0 Factor a trinomial. (2 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 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 = {2, 6}
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