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Simplifying
9 = 2x * 2x + 1
Reorder the terms for easier multiplication:
9 = 2 * 2x * x + 1
Multiply 2 * 2
9 = 4x * x + 1
Multiply x * x
9 = 4x2 + 1
Reorder the terms:
9 = 1 + 4x2
Solving
9 = 1 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
9 + -4x2 = 1 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
9 + -4x2 = 1 + 0
9 + -4x2 = 1
Add '-9' to each side of the equation.
9 + -9 + -4x2 = 1 + -9
Combine like terms: 9 + -9 = 0
0 + -4x2 = 1 + -9
-4x2 = 1 + -9
Combine like terms: 1 + -9 = -8
-4x2 = -8
Divide each side by '-4'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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