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Simplifying p8 + -1m4 = 0 Reorder the terms: -1m4 + p8 = 0 Solving -1m4 + p8 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1p8' to each side of the equation. -1m4 + p8 + -1p8 = 0 + -1p8 Combine like terms: p8 + -1p8 = 0 -1m4 + 0 = 0 + -1p8 -1m4 = 0 + -1p8 Remove the zero: -1m4 = -1p8 Divide each side by '-1'. m4 = p8 Simplifying m4 = p8 Combine like terms: p8 + -1p8 = 0 m4 + -1p8 = 0 Factor a difference between two squares. (m2 + p4)(m2 + -1p4) = 0 Factor a difference between two squares. (m2 + p4)((m + p2)(m + -1p2)) = 0Subproblem 1
Set the factor '(m2 + p4)' equal to zero and attempt to solve: Simplifying m2 + p4 = 0 Solving m2 + p4 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p4' to each side of the equation. m2 + p4 + -1p4 = 0 + -1p4 Combine like terms: p4 + -1p4 = 0 m2 + 0 = 0 + -1p4 m2 = 0 + -1p4 Remove the zero: m2 = -1p4 Simplifying m2 = -1p4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(m + p2)' equal to zero and attempt to solve: Simplifying m + p2 = 0 Solving m + p2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p2' to each side of the equation. m + p2 + -1p2 = 0 + -1p2 Combine like terms: p2 + -1p2 = 0 m + 0 = 0 + -1p2 m = 0 + -1p2 Remove the zero: m = -1p2 Simplifying m = -1p2Subproblem 3
Set the factor '(m + -1p2)' equal to zero and attempt to solve: Simplifying m + -1p2 = 0 Solving m + -1p2 = 0 Move all terms containing m to the left, all other terms to the right. Add 'p2' to each side of the equation. m + -1p2 + p2 = 0 + p2 Combine like terms: -1p2 + p2 = 0 m + 0 = 0 + p2 m = 0 + p2 Remove the zero: m = p2 Simplifying m = p2Solution
m = {-1p2, p2}
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