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Simplifying 2x2 + -4x + 2m2 = 0 Reorder the terms: 2m2 + -4x + 2x2 = 0 Solving 2m2 + -4x + 2x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4x' to each side of the equation. 2m2 + -4x + 4x + 2x2 = 0 + 4x Combine like terms: -4x + 4x = 0 2m2 + 0 + 2x2 = 0 + 4x 2m2 + 2x2 = 0 + 4x Remove the zero: 2m2 + 2x2 = 4x Add '-2x2' to each side of the equation. 2m2 + 2x2 + -2x2 = 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2m2 + 0 = 4x + -2x2 2m2 = 4x + -2x2 Divide each side by '2'. m2 = 2x + -1x2 Simplifying m2 = 2x + -1x2 Reorder the terms: m2 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 m2 + -2x + x2 = 0 + -1x2 + x2 m2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 m2 + -2x + x2 = 0 Factor a trinomial. (m + -1x)(m + -1x) = 0Subproblem 1
Set the factor '(m + -1x)' equal to zero and attempt to solve: Simplifying m + -1x = 0 Solving m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. m + -1x + x = 0 + x Combine like terms: -1x + x = 0 m + 0 = 0 + x m = 0 + x Remove the zero: m = x Simplifying m = xSubproblem 2
Set the factor '(m + -1x)' equal to zero and attempt to solve: Simplifying m + -1x = 0 Solving m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. m + -1x + x = 0 + x Combine like terms: -1x + x = 0 m + 0 = 0 + x m = 0 + x Remove the zero: m = x Simplifying m = xSolution
m = {x, x}
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