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