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Simplifying
9x(x + 2) = 25 + 18x
Reorder the terms:
9x(2 + x) = 25 + 18x
(2 * 9x + x * 9x) = 25 + 18x
(18x + 9x2) = 25 + 18x
Add '-18x' to each side of the equation.
18x + -18x + 9x2 = 25 + 18x + -18x
Combine like terms: 18x + -18x = 0
0 + 9x2 = 25 + 18x + -18x
9x2 = 25 + 18x + -18x
Combine like terms: 18x + -18x = 0
9x2 = 25 + 0
9x2 = 25
Solving
9x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '9'.
x2 = 2.777777778
Simplifying
x2 = 2.777777778
Take the square root of each side:
x = {-1.666666667, 1.666666667}
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