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Simplifying x2 + -92x + -9 = 92x + -9 Reorder the terms: -9 + -92x + x2 = 92x + -9 Reorder the terms: -9 + -92x + x2 = -9 + 92x Add '9' to each side of the equation. -9 + -92x + 9 + x2 = -9 + 9 + 92x Reorder the terms: -9 + 9 + -92x + x2 = -9 + 9 + 92x Combine like terms: -9 + 9 = 0 0 + -92x + x2 = -9 + 9 + 92x -92x + x2 = -9 + 9 + 92x Combine like terms: -9 + 9 = 0 -92x + x2 = 0 + 92x -92x + x2 = 92x Solving -92x + x2 = 92x Solving for variable 'x'. Reorder the terms: -92x + -92x + x2 = 92x + -92x Combine like terms: -92x + -92x = -184x -184x + x2 = 92x + -92x Combine like terms: 92x + -92x = 0 -184x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-184 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-184 + x)' equal to zero and attempt to solve: Simplifying -184 + x = 0 Solving -184 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '184' to each side of the equation. -184 + 184 + x = 0 + 184 Combine like terms: -184 + 184 = 0 0 + x = 0 + 184 x = 0 + 184 Combine like terms: 0 + 184 = 184 x = 184 Simplifying x = 184Solution
x = {0, 184}
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