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