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Simplifying
8(x + -5)(x + 5) = 0
Reorder the terms:
8(-5 + x)(x + 5) = 0
Reorder the terms:
8(-5 + x)(5 + x) = 0
Multiply (-5 + x) * (5 + x)
8(-5(5 + x) + x(5 + x)) = 0
8((5 * -5 + x * -5) + x(5 + x)) = 0
8((-25 + -5x) + x(5 + x)) = 0
8(-25 + -5x + (5 * x + x * x)) = 0
8(-25 + -5x + (5x + x2)) = 0
Combine like terms: -5x + 5x = 0
8(-25 + 0 + x2) = 0
8(-25 + x2) = 0
(-25 * 8 + x2 * 8) = 0
(-200 + 8x2) = 0
Solving
-200 + 8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '200' to each side of the equation.
-200 + 200 + 8x2 = 0 + 200
Combine like terms: -200 + 200 = 0
0 + 8x2 = 0 + 200
8x2 = 0 + 200
Combine like terms: 0 + 200 = 200
8x2 = 200
Divide each side by '8'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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