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Simplifying
2x(18x + 1) = 2x + 25
Reorder the terms:
2x(1 + 18x) = 2x + 25
(1 * 2x + 18x * 2x) = 2x + 25
(2x + 36x2) = 2x + 25
Reorder the terms:
2x + 36x2 = 25 + 2x
Add '-2x' to each side of the equation.
2x + -2x + 36x2 = 25 + 2x + -2x
Combine like terms: 2x + -2x = 0
0 + 36x2 = 25 + 2x + -2x
36x2 = 25 + 2x + -2x
Combine like terms: 2x + -2x = 0
36x2 = 25 + 0
36x2 = 25
Solving
36x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '36'.
x2 = 0.6944444444
Simplifying
x2 = 0.6944444444
Take the square root of each side:
x = {-0.833333333, 0.833333333}
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