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Simplifying mp2 + -1mq2 = 0 Solving mp2 + -1mq2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'm'. m(p2 + -1q2) = 0 Factor a difference between two squares. m((p + q)(p + -1q)) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(p + q)' equal to zero and attempt to solve: Simplifying p + q = 0 Solving p + q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p + q = 0 + -1p Combine like terms: p + -1p = 0 0 + q = 0 + -1p q = 0 + -1p Remove the zero: q = -1p Add '-1q' to each side of the equation. q + -1q = -1p + -1q Combine like terms: q + -1q = 0 0 = -1p + -1q Simplifying 0 = -1p + -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(p + -1q)' equal to zero and attempt to solve: Simplifying p + -1q = 0 Solving p + -1q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p + -1q = 0 + -1p Combine like terms: p + -1p = 0 0 + -1q = 0 + -1p -1q = 0 + -1p Remove the zero: -1q = -1p Add 'q' to each side of the equation. -1q + q = -1p + q Combine like terms: -1q + q = 0 0 = -1p + q Simplifying 0 = -1p + q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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