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Simplifying 6x2 = x2 + 5x Reorder the terms: 6x2 = 5x + x2 Solving 6x2 = 5x + x2 Solving for variable 'x'. Reorder the terms: -5x + 6x2 + -1x2 = 5x + x2 + -5x + -1x2 Combine like terms: 6x2 + -1x2 = 5x2 -5x + 5x2 = 5x + x2 + -5x + -1x2 Reorder the terms: -5x + 5x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 -5x + 5x2 = 0 + x2 + -1x2 -5x + 5x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-1 + x) = 0 Ignore the factor 5.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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