2x^2-15=60-x^2

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Solution for 2x^2-15=60-x^2 equation: 


Simplifying
2x2 + -15 = 60 + -1x2

Reorder the terms:
-15 + 2x2 = 60 + -1x2

Solving
-15 + 2x2 = 60 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-15 + 2x2 + x2 = 60 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-15 + 3x2 = 60 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-15 + 3x2 = 60 + 0
-15 + 3x2 = 60

Add '15' to each side of the equation.
-15 + 15 + 3x2 = 60 + 15

Combine like terms: -15 + 15 = 0
0 + 3x2 = 60 + 15
3x2 = 60 + 15

Combine like terms: 60 + 15 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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