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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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