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Simplifying x2 + -5x + 1 = 1 Reorder the terms: 1 + -5x + x2 = 1 Add '-1' to each side of the equation. 1 + -5x + -1 + x2 = 1 + -1 Reorder the terms: 1 + -1 + -5x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -5x + x2 = 1 + -1 -5x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -5x + x2 = 0 Solving -5x + x2 = 0 Solving for variable 'x'. 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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