x^2-7=14-2x^2

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Solution for x^2-7=14-2x^2 equation:


Simplifying
x2 + -7 = 14 + -2x2

Reorder the terms:
-7 + x2 = 14 + -2x2

Solving
-7 + x2 = 14 + -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.
-7 + x2 + 2x2 = 14 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-7 + 3x2 = 14 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-7 + 3x2 = 14 + 0
-7 + 3x2 = 14

Add '7' to each side of the equation.
-7 + 7 + 3x2 = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3x2 = 14 + 7
3x2 = 14 + 7

Combine like terms: 14 + 7 = 21
3x2 = 21

Divide each side by '3'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

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