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Simplifying x2 + -7x + 3 = 3 + -1x2 + x Reorder the terms: 3 + -7x + x2 = 3 + -1x2 + x Reorder the terms: 3 + -7x + x2 = 3 + x + -1x2 Add '-3' to each side of the equation. 3 + -7x + -3 + x2 = 3 + x + -3 + -1x2 Reorder the terms: 3 + -3 + -7x + x2 = 3 + x + -3 + -1x2 Combine like terms: 3 + -3 = 0 0 + -7x + x2 = 3 + x + -3 + -1x2 -7x + x2 = 3 + x + -3 + -1x2 Reorder the terms: -7x + x2 = 3 + -3 + x + -1x2 Combine like terms: 3 + -3 = 0 -7x + x2 = 0 + x + -1x2 -7x + x2 = x + -1x2 Solving -7x + x2 = x + -1x2 Solving for variable 'x'. Reorder the terms: -7x + -1x + x2 + x2 = x + -1x2 + -1x + x2 Combine like terms: -7x + -1x = -8x -8x + x2 + x2 = x + -1x2 + -1x + x2 Combine like terms: x2 + x2 = 2x2 -8x + 2x2 = x + -1x2 + -1x + x2 Reorder the terms: -8x + 2x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 -8x + 2x2 = 0 + -1x2 + x2 -8x + 2x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + x) = 0 Ignore the factor 2.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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