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Simplifying
4x2 + -25(2x + 5)(2x + -5) = 0
Reorder the terms:
4x2 + -25(5 + 2x)(2x + -5) = 0
Reorder the terms:
4x2 + -25(5 + 2x)(-5 + 2x) = 0
Multiply (5 + 2x) * (-5 + 2x)
4x2 + -25(5(-5 + 2x) + 2x * (-5 + 2x)) = 0
4x2 + -25((-5 * 5 + 2x * 5) + 2x * (-5 + 2x)) = 0
4x2 + -25((-25 + 10x) + 2x * (-5 + 2x)) = 0
4x2 + -25(-25 + 10x + (-5 * 2x + 2x * 2x)) = 0
4x2 + -25(-25 + 10x + (-10x + 4x2)) = 0
Combine like terms: 10x + -10x = 0
4x2 + -25(-25 + 0 + 4x2) = 0
4x2 + -25(-25 + 4x2) = 0
4x2 + (-25 * -25 + 4x2 * -25) = 0
4x2 + (625 + -100x2) = 0
Reorder the terms:
625 + 4x2 + -100x2 = 0
Combine like terms: 4x2 + -100x2 = -96x2
625 + -96x2 = 0
Solving
625 + -96x2 = 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 + -96x2 = 0 + -625
Combine like terms: 625 + -625 = 0
0 + -96x2 = 0 + -625
-96x2 = 0 + -625
Combine like terms: 0 + -625 = -625
-96x2 = -625
Divide each side by '-96'.
x2 = 6.510416667
Simplifying
x2 = 6.510416667
Take the square root of each side:
x = {-2.551551815, 2.551551815}
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