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Simplifying
x * 2x + 9 = 25
Reorder the terms for easier multiplication:
2x * x + 9 = 25
Multiply x * x
2x2 + 9 = 25
Reorder the terms:
9 + 2x2 = 25
Solving
9 + 2x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2x2 = 25 + -9
Combine like terms: 9 + -9 = 0
0 + 2x2 = 25 + -9
2x2 = 25 + -9
Combine like terms: 25 + -9 = 16
2x2 = 16
Divide each side by '2'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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