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Simplifying 88 + 4x2 = -92x Solving 88 + 4x2 = -92x Solving for variable 'x'. Reorder the terms: 88 + 92x + 4x2 = -92x + 92x Combine like terms: -92x + 92x = 0 88 + 92x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(22 + 23x + x2) = 0 Factor a trinomial. 4((22 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-22, -1}
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