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Simplifying 58x + -2x2 = 34x + 54 Reorder the terms: 58x + -2x2 = 54 + 34x Solving 58x + -2x2 = 54 + 34x Solving for variable 'x'. Reorder the terms: -54 + 58x + -34x + -2x2 = 54 + 34x + -54 + -34x Combine like terms: 58x + -34x = 24x -54 + 24x + -2x2 = 54 + 34x + -54 + -34x Reorder the terms: -54 + 24x + -2x2 = 54 + -54 + 34x + -34x Combine like terms: 54 + -54 = 0 -54 + 24x + -2x2 = 0 + 34x + -34x -54 + 24x + -2x2 = 34x + -34x Combine like terms: 34x + -34x = 0 -54 + 24x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 12x + -1x2) = 0 Factor a trinomial. 2((-9 + x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 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 = {9, 3}
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