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Simplifying
(x + 3x)(5x + x) = 8
Combine like terms: x + 3x = 4x
(4x)(5x + x) = 8
Remove parenthesis around (4x)
4x(5x + x) = 8
Combine like terms: 5x + x = 6x
4x(6x) = 8
Remove parenthesis around (6x)
4x * 6x = 8
Reorder the terms for easier multiplication:
4 * 6x * x = 8
Multiply 4 * 6
24x * x = 8
Multiply x * x
24x2 = 8
Solving
24x2 = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '24'.
x2 = 0.3333333333
Simplifying
x2 = 0.3333333333
Take the square root of each side:
x = {-0.577350269, 0.577350269}
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