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Simplifying
(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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