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Simplifying
2x2 + -9 + -7 = 0
Reorder the terms:
-9 + -7 + 2x2 = 0
Combine like terms: -9 + -7 = -16
-16 + 2x2 = 0
Solving
-16 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 2x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 2x2 = 0 + 16
2x2 = 0 + 16
Combine like terms: 0 + 16 = 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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