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Simplifying
3x2 + -7 = x2 + 9
Reorder the terms:
-7 + 3x2 = x2 + 9
Reorder the terms:
-7 + 3x2 = 9 + x2
Solving
-7 + 3x2 = 9 + 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.
-7 + 3x2 + -1x2 = 9 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
-7 + 2x2 = 9 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-7 + 2x2 = 9 + 0
-7 + 2x2 = 9
Add '7' to each side of the equation.
-7 + 7 + 2x2 = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 2x2 = 9 + 7
2x2 = 9 + 7
Combine like terms: 9 + 7 = 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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