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Simplifying 34x = 9 + -8x2 Solving 34x = 9 + -8x2 Solving for variable 'x'. Reorder the terms: -9 + 34x + 8x2 = 9 + -8x2 + -9 + 8x2 Reorder the terms: -9 + 34x + 8x2 = 9 + -9 + -8x2 + 8x2 Combine like terms: 9 + -9 = 0 -9 + 34x + 8x2 = 0 + -8x2 + 8x2 -9 + 34x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -9 + 34x + 8x2 = 0 Factor a trinomial. (-9 + -2x)(1 + -4x) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-4.5, 0.25}
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