9=2x^2-7

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Solution for 9=2x^2-7 equation:


Simplifying
9 = 2x2 + -7

Reorder the terms:
9 = -7 + 2x2

Solving
9 = -7 + 2x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x2' to each side of the equation.
9 + -2x2 = -7 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + -2x2 = -7 + 0
9 + -2x2 = -7

Add '-9' to each side of the equation.
9 + -9 + -2x2 = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2x2 = -7 + -9
-2x2 = -7 + -9

Combine like terms: -7 + -9 = -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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