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Simplifying
-9(4x + -5)(4x + 5) = 0
Reorder the terms:
-9(-5 + 4x)(4x + 5) = 0
Reorder the terms:
-9(-5 + 4x)(5 + 4x) = 0
Multiply (-5 + 4x) * (5 + 4x)
-9(-5(5 + 4x) + 4x * (5 + 4x)) = 0
-9((5 * -5 + 4x * -5) + 4x * (5 + 4x)) = 0
-9((-25 + -20x) + 4x * (5 + 4x)) = 0
-9(-25 + -20x + (5 * 4x + 4x * 4x)) = 0
-9(-25 + -20x + (20x + 16x2)) = 0
Combine like terms: -20x + 20x = 0
-9(-25 + 0 + 16x2) = 0
-9(-25 + 16x2) = 0
(-25 * -9 + 16x2 * -9) = 0
(225 + -144x2) = 0
Solving
225 + -144x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-225' to each side of the equation.
225 + -225 + -144x2 = 0 + -225
Combine like terms: 225 + -225 = 0
0 + -144x2 = 0 + -225
-144x2 = 0 + -225
Combine like terms: 0 + -225 = -225
-144x2 = -225
Divide each side by '-144'.
x2 = 1.5625
Simplifying
x2 = 1.5625
Take the square root of each side:
x = {-1.25, 1.25}
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