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Simplifying
(5x + -2)(5x + -2) = 20(1 + -1x)
Reorder the terms:
(-2 + 5x)(5x + -2) = 20(1 + -1x)
Reorder the terms:
(-2 + 5x)(-2 + 5x) = 20(1 + -1x)
Multiply (-2 + 5x) * (-2 + 5x)
(-2(-2 + 5x) + 5x * (-2 + 5x)) = 20(1 + -1x)
((-2 * -2 + 5x * -2) + 5x * (-2 + 5x)) = 20(1 + -1x)
((4 + -10x) + 5x * (-2 + 5x)) = 20(1 + -1x)
(4 + -10x + (-2 * 5x + 5x * 5x)) = 20(1 + -1x)
(4 + -10x + (-10x + 25x2)) = 20(1 + -1x)
Combine like terms: -10x + -10x = -20x
(4 + -20x + 25x2) = 20(1 + -1x)
4 + -20x + 25x2 = (1 * 20 + -1x * 20)
4 + -20x + 25x2 = (20 + -20x)
Add '20x' to each side of the equation.
4 + -20x + 20x + 25x2 = 20 + -20x + 20x
Combine like terms: -20x + 20x = 0
4 + 0 + 25x2 = 20 + -20x + 20x
4 + 25x2 = 20 + -20x + 20x
Combine like terms: -20x + 20x = 0
4 + 25x2 = 20 + 0
4 + 25x2 = 20
Solving
4 + 25x2 = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 25x2 = 20 + -4
Combine like terms: 4 + -4 = 0
0 + 25x2 = 20 + -4
25x2 = 20 + -4
Combine like terms: 20 + -4 = 16
25x2 = 16
Divide each side by '25'.
x2 = 0.64
Simplifying
x2 = 0.64
Take the square root of each side:
x = {-0.8, 0.8}
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