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Simplifying x2 + x + -6 = 6x + -6 Reorder the terms: -6 + x + x2 = 6x + -6 Reorder the terms: -6 + x + x2 = -6 + 6x Add '6' to each side of the equation. -6 + x + 6 + x2 = -6 + 6 + 6x Reorder the terms: -6 + 6 + x + x2 = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + x + x2 = -6 + 6 + 6x x + x2 = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 x + x2 = 0 + 6x x + x2 = 6x Solving x + x2 = 6x Solving for variable 'x'. Reorder the terms: x + -6x + x2 = 6x + -6x Combine like terms: x + -6x = -5x -5x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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