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Simplifying
(5x + -4)(5x + 4) = 80
Reorder the terms:
(-4 + 5x)(5x + 4) = 80
Reorder the terms:
(-4 + 5x)(4 + 5x) = 80
Multiply (-4 + 5x) * (4 + 5x)
(-4(4 + 5x) + 5x * (4 + 5x)) = 80
((4 * -4 + 5x * -4) + 5x * (4 + 5x)) = 80
((-16 + -20x) + 5x * (4 + 5x)) = 80
(-16 + -20x + (4 * 5x + 5x * 5x)) = 80
(-16 + -20x + (20x + 25x2)) = 80
Combine like terms: -20x + 20x = 0
(-16 + 0 + 25x2) = 80
(-16 + 25x2) = 80
Solving
-16 + 25x2 = 80
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 25x2 = 80 + 16
Combine like terms: -16 + 16 = 0
0 + 25x2 = 80 + 16
25x2 = 80 + 16
Combine like terms: 80 + 16 = 96
25x2 = 96
Divide each side by '25'.
x2 = 3.84
Simplifying
x2 = 3.84
Take the square root of each side:
x = {-1.959591794, 1.959591794}
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