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Simplifying
5(3x + 9)(5x + -15) = 0
Reorder the terms:
5(9 + 3x)(5x + -15) = 0
Reorder the terms:
5(9 + 3x)(-15 + 5x) = 0
Multiply (9 + 3x) * (-15 + 5x)
5(9(-15 + 5x) + 3x * (-15 + 5x)) = 0
5((-15 * 9 + 5x * 9) + 3x * (-15 + 5x)) = 0
5((-135 + 45x) + 3x * (-15 + 5x)) = 0
5(-135 + 45x + (-15 * 3x + 5x * 3x)) = 0
5(-135 + 45x + (-45x + 15x2)) = 0
Combine like terms: 45x + -45x = 0
5(-135 + 0 + 15x2) = 0
5(-135 + 15x2) = 0
(-135 * 5 + 15x2 * 5) = 0
(-675 + 75x2) = 0
Solving
-675 + 75x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '675' to each side of the equation.
-675 + 675 + 75x2 = 0 + 675
Combine like terms: -675 + 675 = 0
0 + 75x2 = 0 + 675
75x2 = 0 + 675
Combine like terms: 0 + 675 = 675
75x2 = 675
Divide each side by '75'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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