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Simplifying 2x2 + -54x = 116 Reorder the terms: -54x + 2x2 = 116 Solving -54x + 2x2 = 116 Solving for variable 'x'. Reorder the terms: -116 + -54x + 2x2 = 116 + -116 Combine like terms: 116 + -116 = 0 -116 + -54x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-58 + -27x + x2) = 0 Factor a trinomial. 2((-2 + -1x)(29 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29Solution
x = {-2, 29}
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