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Simplifying
6(2x + -5)(2x + 5) = 0
Reorder the terms:
6(-5 + 2x)(2x + 5) = 0
Reorder the terms:
6(-5 + 2x)(5 + 2x) = 0
Multiply (-5 + 2x) * (5 + 2x)
6(-5(5 + 2x) + 2x * (5 + 2x)) = 0
6((5 * -5 + 2x * -5) + 2x * (5 + 2x)) = 0
6((-25 + -10x) + 2x * (5 + 2x)) = 0
6(-25 + -10x + (5 * 2x + 2x * 2x)) = 0
6(-25 + -10x + (10x + 4x2)) = 0
Combine like terms: -10x + 10x = 0
6(-25 + 0 + 4x2) = 0
6(-25 + 4x2) = 0
(-25 * 6 + 4x2 * 6) = 0
(-150 + 24x2) = 0
Solving
-150 + 24x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '150' to each side of the equation.
-150 + 150 + 24x2 = 0 + 150
Combine like terms: -150 + 150 = 0
0 + 24x2 = 0 + 150
24x2 = 0 + 150
Combine like terms: 0 + 150 = 150
24x2 = 150
Divide each side by '24'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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