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Simplifying x2 + -6x + m2 = x2 + 2xm + m2 Reorder the terms: m2 + -6x + x2 = x2 + 2xm + m2 Reorder the terms: m2 + -6x + x2 = 2mx + m2 + x2 Add '-1m2' to each side of the equation. m2 + -6x + -1m2 + x2 = 2mx + m2 + -1m2 + x2 Reorder the terms: m2 + -1m2 + -6x + x2 = 2mx + m2 + -1m2 + x2 Combine like terms: m2 + -1m2 = 0 0 + -6x + x2 = 2mx + m2 + -1m2 + x2 -6x + x2 = 2mx + m2 + -1m2 + x2 Combine like terms: m2 + -1m2 = 0 -6x + x2 = 2mx + 0 + x2 -6x + x2 = 2mx + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 2mx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 2mx + x2 + -1x2 -6x = 2mx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 2mx + 0 -6x = 2mx Solving -6x = 2mx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2mx' to each side of the equation. -2mx + -6x = 2mx + -2mx Combine like terms: 2mx + -2mx = 0 -2mx + -6x = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(m + 3) = 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 '(m + 3)' equal to zero and attempt to solve: Simplifying m + 3 = 0 Reorder the terms: 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Add '-1m' to each side of the equation. m + -1m = -3 + -1m Combine like terms: m + -1m = 0 0 = -3 + -1m Simplifying 0 = -3 + -1m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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