5x^2-20=x^2+80

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Solution for 5x^2-20=x^2+80 equation: 


Simplifying
5x2 + -20 = x2 + 80

Reorder the terms:
-20 + 5x2 = x2 + 80

Reorder the terms:
-20 + 5x2 = 80 + x2

Solving
-20 + 5x2 = 80 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-20 + 5x2 + -1x2 = 80 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-20 + 4x2 = 80 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 4x2 = 80 + 0
-20 + 4x2 = 80

Add '20' to each side of the equation.
-20 + 20 + 4x2 = 80 + 20

Combine like terms: -20 + 20 = 0
0 + 4x2 = 80 + 20
4x2 = 80 + 20

Combine like terms: 80 + 20 = 100
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

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

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