(5m-9)(m-3)=0

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Solution for (5m-9)(m-3)=0 equation:


Simplifying
(5m + -9)(m + -3) = 0

Reorder the terms:
(-9 + 5m)(m + -3) = 0

Reorder the terms:
(-9 + 5m)(-3 + m) = 0

Multiply (-9 + 5m) * (-3 + m)
(-9(-3 + m) + 5m * (-3 + m)) = 0
((-3 * -9 + m * -9) + 5m * (-3 + m)) = 0
((27 + -9m) + 5m * (-3 + m)) = 0
(27 + -9m + (-3 * 5m + m * 5m)) = 0
(27 + -9m + (-15m + 5m2)) = 0

Combine like terms: -9m + -15m = -24m
(27 + -24m + 5m2) = 0

Solving
27 + -24m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + -5m)(3 + -1m) = 0

Subproblem 1

Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8

Subproblem 2

Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3

Solution

m = {1.8, 3}

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