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Simplifying x2 + -8x = 19x Reorder the terms: -8x + x2 = 19x Solving -8x + x2 = 19x Solving for variable 'x'. Reorder the terms: -8x + -19x + x2 = 19x + -19x Combine like terms: -8x + -19x = -27x -27x + x2 = 19x + -19x Combine like terms: 19x + -19x = 0 -27x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-27 + 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 '(-27 + x)' equal to zero and attempt to solve: Simplifying -27 + x = 0 Solving -27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x = 0 + 27 x = 0 + 27 Combine like terms: 0 + 27 = 27 x = 27 Simplifying x = 27Solution
x = {0, 27}
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