5x^2-8=x^2+1

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Solution for 5x^2-8=x^2+1 equation: 


Simplifying
5x2 + -8 = x2 + 1

Reorder the terms:
-8 + 5x2 = x2 + 1

Reorder the terms:
-8 + 5x2 = 1 + x2

Solving
-8 + 5x2 = 1 + 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.
-8 + 5x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-8 + 4x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 4x2 = 1 + 0
-8 + 4x2 = 1

Add '8' to each side of the equation.
-8 + 8 + 4x2 = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 4x2 = 1 + 8
4x2 = 1 + 8

Combine like terms: 1 + 8 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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