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Simplifying x2 + -84x = -5x Reorder the terms: -84x + x2 = -5x Solving -84x + x2 = -5x Solving for variable 'x'. Reorder the terms: -84x + 5x + x2 = -5x + 5x Combine like terms: -84x + 5x = -79x -79x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -79x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-79 + 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 '(-79 + x)' equal to zero and attempt to solve: Simplifying -79 + x = 0 Solving -79 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + x = 0 + 79 x = 0 + 79 Combine like terms: 0 + 79 = 79 x = 79 Simplifying x = 79Solution
x = {0, 79}
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