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Simplifying -2x + 3 = x2 + -6x + 3 Reorder the terms: 3 + -2x = x2 + -6x + 3 Reorder the terms: 3 + -2x = 3 + -6x + x2 Add '-3' to each side of the equation. 3 + -3 + -2x = 3 + -6x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + -2x = 3 + -6x + -3 + x2 -2x = 3 + -6x + -3 + x2 Reorder the terms: -2x = 3 + -3 + -6x + x2 Combine like terms: 3 + -3 = 0 -2x = 0 + -6x + x2 -2x = -6x + x2 Solving -2x = -6x + x2 Solving for variable 'x'. Combine like terms: -2x + 6x = 4x 4x + -1x2 = -6x + x2 + 6x + -1x2 Reorder the terms: 4x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 4x + -1x2 = 0 + x2 + -1x2 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 4}
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