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Simplifying 3x2 + 2mx = m2 Reorder the terms: 2mx + 3x2 = m2 Solving 2mx + 3x2 = m2 Solving for variable 'm'. Reorder the terms: 2mx + -1m2 + 3x2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 2mx + -1m2 + 3x2 = 0 Factor a trinomial. (-1m + -1x)(m + -3x) = 0Subproblem 1
Set the factor '(-1m + -1x)' equal to zero and attempt to solve: Simplifying -1m + -1x = 0 Solving -1m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. -1m + -1x + x = 0 + x Combine like terms: -1x + x = 0 -1m + 0 = 0 + x -1m = 0 + x Remove the zero: -1m = x Divide each side by '-1'. m = -1x Simplifying m = -1xSubproblem 2
Set the factor '(m + -3x)' equal to zero and attempt to solve: Simplifying m + -3x = 0 Solving m + -3x = 0 Move all terms containing m to the left, all other terms to the right. Add '3x' to each side of the equation. m + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 m + 0 = 0 + 3x m = 0 + 3x Remove the zero: m = 3x Simplifying m = 3xSolution
m = {-1x, 3x}
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