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Simplifying
(0.8x + 5)(0.8x + -5) = 0
Reorder the terms:
(5 + 0.8x)(0.8x + -5) = 0
Reorder the terms:
(5 + 0.8x)(-5 + 0.8x) = 0
Multiply (5 + 0.8x) * (-5 + 0.8x)
(5(-5 + 0.8x) + 0.8x * (-5 + 0.8x)) = 0
((-5 * 5 + 0.8x * 5) + 0.8x * (-5 + 0.8x)) = 0
((-25 + 4x) + 0.8x * (-5 + 0.8x)) = 0
(-25 + 4x + (-5 * 0.8x + 0.8x * 0.8x)) = 0
(-25 + 4x + (-4x + 0.64x2)) = 0
Combine like terms: 4x + -4x = 0
(-25 + 0 + 0.64x2) = 0
(-25 + 0.64x2) = 0
Solving
-25 + 0.64x2 = 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 + 0.64x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 0.64x2 = 0 + 25
0.64x2 = 0 + 25
Combine like terms: 0 + 25 = 25
0.64x2 = 25
Divide each side by '0.64'.
x2 = 39.0625
Simplifying
x2 = 39.0625
Take the square root of each side:
x = {-6.25, 6.25}
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