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Simplifying 7 + -1x = x2 + -4x + 7 Reorder the terms: 7 + -1x = 7 + -4x + x2 Add '-7' to each side of the equation. 7 + -7 + -1x = 7 + -4x + -7 + x2 Combine like terms: 7 + -7 = 0 0 + -1x = 7 + -4x + -7 + x2 -1x = 7 + -4x + -7 + x2 Reorder the terms: -1x = 7 + -7 + -4x + x2 Combine like terms: 7 + -7 = 0 -1x = 0 + -4x + x2 -1x = -4x + x2 Solving -1x = -4x + x2 Solving for variable 'x'. Combine like terms: -1x + 4x = 3x 3x + -1x2 = -4x + x2 + 4x + -1x2 Reorder the terms: 3x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 3x + -1x2 = 0 + x2 + -1x2 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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