x^2-13+x^2-7=180

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Solution for x^2-13+x^2-7=180 equation:


Simplifying
x2 + -13 + x2 + -7 = 180

Reorder the terms:
-13 + -7 + x2 + x2 = 180

Combine like terms: -13 + -7 = -20
-20 + x2 + x2 = 180

Combine like terms: x2 + x2 = 2x2
-20 + 2x2 = 180

Solving
-20 + 2x2 = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 2x2 = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 2x2 = 180 + 20
2x2 = 180 + 20

Combine like terms: 180 + 20 = 200
2x2 = 200

Divide each side by '2'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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