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Simplifying
(3m + 9)(5m + -15) = 0
Reorder the terms:
(9 + 3m)(5m + -15) = 0
Reorder the terms:
(9 + 3m)(-15 + 5m) = 0
Multiply (9 + 3m) * (-15 + 5m)
(9(-15 + 5m) + 3m * (-15 + 5m)) = 0
((-15 * 9 + 5m * 9) + 3m * (-15 + 5m)) = 0
((-135 + 45m) + 3m * (-15 + 5m)) = 0
(-135 + 45m + (-15 * 3m + 5m * 3m)) = 0
(-135 + 45m + (-45m + 15m2)) = 0
Combine like terms: 45m + -45m = 0
(-135 + 0 + 15m2) = 0
(-135 + 15m2) = 0
Solving
-135 + 15m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '135' to each side of the equation.
-135 + 135 + 15m2 = 0 + 135
Combine like terms: -135 + 135 = 0
0 + 15m2 = 0 + 135
15m2 = 0 + 135
Combine like terms: 0 + 135 = 135
15m2 = 135
Divide each side by '15'.
m2 = 9
Simplifying
m2 = 9
Take the square root of each side:
m = {-3, 3}
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