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Simplifying x2 + -14x = 5x Reorder the terms: -14x + x2 = 5x Solving -14x + x2 = 5x Solving for variable 'x'. Reorder the terms: -14x + -5x + x2 = 5x + -5x Combine like terms: -14x + -5x = -19x -19x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -19x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 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 '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Simplifying x = 19Solution
x = {0, 19}
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