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Simplifying 16m2 + -81(m + -3)(m + -3) = 0 Reorder the terms: 16m2 + -81(-3 + m)(m + -3) = 0 Reorder the terms: 16m2 + -81(-3 + m)(-3 + m) = 0 Multiply (-3 + m) * (-3 + m) 16m2 + -81(-3(-3 + m) + m(-3 + m)) = 0 16m2 + -81((-3 * -3 + m * -3) + m(-3 + m)) = 0 16m2 + -81((9 + -3m) + m(-3 + m)) = 0 16m2 + -81(9 + -3m + (-3 * m + m * m)) = 0 16m2 + -81(9 + -3m + (-3m + m2)) = 0 Combine like terms: -3m + -3m = -6m 16m2 + -81(9 + -6m + m2) = 0 16m2 + (9 * -81 + -6m * -81 + m2 * -81) = 0 16m2 + (-729 + 486m + -81m2) = 0 Reorder the terms: -729 + 486m + 16m2 + -81m2 = 0 Combine like terms: 16m2 + -81m2 = -65m2 -729 + 486m + -65m2 = 0 Solving -729 + 486m + -65m2 = 0 Solving for variable 'm'. Factor a trinomial. (-27 + 5m)(27 + -13m) = 0Subproblem 1
Set the factor '(-27 + 5m)' equal to zero and attempt to solve: Simplifying -27 + 5m = 0 Solving -27 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 5m = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 5m = 0 + 27 5m = 0 + 27 Combine like terms: 0 + 27 = 27 5m = 27 Divide each side by '5'. m = 5.4 Simplifying m = 5.4Subproblem 2
Set the factor '(27 + -13m)' equal to zero and attempt to solve: Simplifying 27 + -13m = 0 Solving 27 + -13m = 0 Move all terms containing m to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -13m = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -13m = 0 + -27 -13m = 0 + -27 Combine like terms: 0 + -27 = -27 -13m = -27 Divide each side by '-13'. m = 2.076923077 Simplifying m = 2.076923077Solution
m = {5.4, 2.076923077}
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