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Simplifying
8 = 3x * 3x + -2
Reorder the terms for easier multiplication:
8 = 3 * 3x * x + -2
Multiply 3 * 3
8 = 9x * x + -2
Multiply x * x
8 = 9x2 + -2
Reorder the terms:
8 = -2 + 9x2
Solving
8 = -2 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
8 + -9x2 = -2 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
8 + -9x2 = -2 + 0
8 + -9x2 = -2
Add '-8' to each side of the equation.
8 + -8 + -9x2 = -2 + -8
Combine like terms: 8 + -8 = 0
0 + -9x2 = -2 + -8
-9x2 = -2 + -8
Combine like terms: -2 + -8 = -10
-9x2 = -10
Divide each side by '-9'.
x2 = 1.111111111
Simplifying
x2 = 1.111111111
Take the square root of each side:
x = {-1.054092553, 1.054092553}
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