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Simplifying 6x2 = x + 117 Reorder the terms: 6x2 = 117 + x Solving 6x2 = 117 + x Solving for variable 'x'. Reorder the terms: -117 + -1x + 6x2 = 117 + x + -117 + -1x Reorder the terms: -117 + -1x + 6x2 = 117 + -117 + x + -1x Combine like terms: 117 + -117 = 0 -117 + -1x + 6x2 = 0 + x + -1x -117 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 -117 + -1x + 6x2 = 0 Factor a trinomial. (-13 + -3x)(9 + -2x) = 0Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve: Simplifying -13 + -3x = 0 Solving -13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 0 + 13 -3x = 0 + 13 Combine like terms: 0 + 13 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-4.333333333, 4.5}
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