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Simplifying
5(3m + 9)(5m + -15) = 0
Reorder the terms:
5(9 + 3m)(5m + -15) = 0
Reorder the terms:
5(9 + 3m)(-15 + 5m) = 0
Multiply (9 + 3m) * (-15 + 5m)
5(9(-15 + 5m) + 3m * (-15 + 5m)) = 0
5((-15 * 9 + 5m * 9) + 3m * (-15 + 5m)) = 0
5((-135 + 45m) + 3m * (-15 + 5m)) = 0
5(-135 + 45m + (-15 * 3m + 5m * 3m)) = 0
5(-135 + 45m + (-45m + 15m2)) = 0
Combine like terms: 45m + -45m = 0
5(-135 + 0 + 15m2) = 0
5(-135 + 15m2) = 0
(-135 * 5 + 15m2 * 5) = 0
(-675 + 75m2) = 0
Solving
-675 + 75m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '675' to each side of the equation.
-675 + 675 + 75m2 = 0 + 675
Combine like terms: -675 + 675 = 0
0 + 75m2 = 0 + 675
75m2 = 0 + 675
Combine like terms: 0 + 675 = 675
75m2 = 675
Divide each side by '75'.
m2 = 9
Simplifying
m2 = 9
Take the square root of each side:
m = {-3, 3}
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