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Simplifying
3x * 3x + 8 = 23
Reorder the terms for easier multiplication:
3 * 3x * x + 8 = 23
Multiply 3 * 3
9x * x + 8 = 23
Multiply x * x
9x2 + 8 = 23
Reorder the terms:
8 + 9x2 = 23
Solving
8 + 9x2 = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 9x2 = 23 + -8
Combine like terms: 8 + -8 = 0
0 + 9x2 = 23 + -8
9x2 = 23 + -8
Combine like terms: 23 + -8 = 15
9x2 = 15
Divide each side by '9'.
x2 = 1.666666667
Simplifying
x2 = 1.666666667
Take the square root of each side:
x = {-1.290994449, 1.290994449}
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