5x^2-10=x^2+20

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Solution for 5x^2-10=x^2+20 equation: 


Simplifying
5x2 + -10 = x2 + 20

Reorder the terms:
-10 + 5x2 = x2 + 20

Reorder the terms:
-10 + 5x2 = 20 + x2

Solving
-10 + 5x2 = 20 + 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.
-10 + 5x2 + -1x2 = 20 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-10 + 4x2 = 20 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 4x2 = 20 + 0
-10 + 4x2 = 20

Add '10' to each side of the equation.
-10 + 10 + 4x2 = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 4x2 = 20 + 10
4x2 = 20 + 10

Combine like terms: 20 + 10 = 30
4x2 = 30

Divide each side by '4'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}

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