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Simplifying x2 + -2x + 7 = 7 + x Reorder the terms: 7 + -2x + x2 = 7 + x Add '-7' to each side of the equation. 7 + -2x + -7 + x2 = 7 + -7 + x Reorder the terms: 7 + -7 + -2x + x2 = 7 + -7 + x Combine like terms: 7 + -7 = 0 0 + -2x + x2 = 7 + -7 + x -2x + x2 = 7 + -7 + x Combine like terms: 7 + -7 = 0 -2x + x2 = 0 + x -2x + x2 = x Solving -2x + x2 = x Solving for variable 'x'. Reorder the terms: -2x + -1x + x2 = x + -1x Combine like terms: -2x + -1x = -3x -3x + x2 = x + -1x Combine like terms: x + -1x = 0 -3x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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