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Simplifying
(4x + 25)(-4x + 25) = 0
Reorder the terms:
(25 + 4x)(-4x + 25) = 0
Reorder the terms:
(25 + 4x)(25 + -4x) = 0
Multiply (25 + 4x) * (25 + -4x)
(25(25 + -4x) + 4x * (25 + -4x)) = 0
((25 * 25 + -4x * 25) + 4x * (25 + -4x)) = 0
((625 + -100x) + 4x * (25 + -4x)) = 0
(625 + -100x + (25 * 4x + -4x * 4x)) = 0
(625 + -100x + (100x + -16x2)) = 0
Combine like terms: -100x + 100x = 0
(625 + 0 + -16x2) = 0
(625 + -16x2) = 0
Solving
625 + -16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-625' to each side of the equation.
625 + -625 + -16x2 = 0 + -625
Combine like terms: 625 + -625 = 0
0 + -16x2 = 0 + -625
-16x2 = 0 + -625
Combine like terms: 0 + -625 = -625
-16x2 = -625
Divide each side by '-16'.
x2 = 39.0625
Simplifying
x2 = 39.0625
Take the square root of each side:
x = {-6.25, 6.25}
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