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Simplifying 9x2 + 3 + -80x + -6 = x + -3 Reorder the terms: 3 + -6 + -80x + 9x2 = x + -3 Combine like terms: 3 + -6 = -3 -3 + -80x + 9x2 = x + -3 Reorder the terms: -3 + -80x + 9x2 = -3 + x Add '3' to each side of the equation. -3 + -80x + 3 + 9x2 = -3 + 3 + x Reorder the terms: -3 + 3 + -80x + 9x2 = -3 + 3 + x Combine like terms: -3 + 3 = 0 0 + -80x + 9x2 = -3 + 3 + x -80x + 9x2 = -3 + 3 + x Combine like terms: -3 + 3 = 0 -80x + 9x2 = 0 + x -80x + 9x2 = x Solving -80x + 9x2 = x Solving for variable 'x'. Reorder the terms: -80x + -1x + 9x2 = x + -1x Combine like terms: -80x + -1x = -81x -81x + 9x2 = x + -1x Combine like terms: x + -1x = 0 -81x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9x'. 9x(-9 + x) = 0 Ignore the factor 9.Subproblem 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 '(-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 = 9Solution
x = {0, 9}
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