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Simplifying
3x2 + 9 = x2 + 27
Reorder the terms:
9 + 3x2 = x2 + 27
Reorder the terms:
9 + 3x2 = 27 + x2
Solving
9 + 3x2 = 27 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
9 + 3x2 + -1x2 = 27 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
9 + 2x2 = 27 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
9 + 2x2 = 27 + 0
9 + 2x2 = 27
Add '-9' to each side of the equation.
9 + -9 + 2x2 = 27 + -9
Combine like terms: 9 + -9 = 0
0 + 2x2 = 27 + -9
2x2 = 27 + -9
Combine like terms: 27 + -9 = 18
2x2 = 18
Divide each side by '2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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