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Simplifying
5x(1 + -1x) = 5(x + -2)
(1 * 5x + -1x * 5x) = 5(x + -2)
(5x + -5x2) = 5(x + -2)
Reorder the terms:
5x + -5x2 = 5(-2 + x)
5x + -5x2 = (-2 * 5 + x * 5)
5x + -5x2 = (-10 + 5x)
Add '-5x' to each side of the equation.
5x + -5x + -5x2 = -10 + 5x + -5x
Combine like terms: 5x + -5x = 0
0 + -5x2 = -10 + 5x + -5x
-5x2 = -10 + 5x + -5x
Combine like terms: 5x + -5x = 0
-5x2 = -10 + 0
-5x2 = -10
Solving
-5x2 = -10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-5'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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