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Simplifying
(5 + -8x)(5 + 8x) = 0
Multiply (5 + -8x) * (5 + 8x)
(5(5 + 8x) + -8x * (5 + 8x)) = 0
((5 * 5 + 8x * 5) + -8x * (5 + 8x)) = 0
((25 + 40x) + -8x * (5 + 8x)) = 0
(25 + 40x + (5 * -8x + 8x * -8x)) = 0
(25 + 40x + (-40x + -64x2)) = 0
Combine like terms: 40x + -40x = 0
(25 + 0 + -64x2) = 0
(25 + -64x2) = 0
Solving
25 + -64x2 = 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 + -64x2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -64x2 = 0 + -25
-64x2 = 0 + -25
Combine like terms: 0 + -25 = -25
-64x2 = -25
Divide each side by '-64'.
x2 = 0.390625
Simplifying
x2 = 0.390625
Take the square root of each side:
x = {-0.625, 0.625}
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