9x^2-4=5x^2+8

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Solution for 9x^2-4=5x^2+8 equation: 


Simplifying
9x2 + -4 = 5x2 + 8

Reorder the terms:
-4 + 9x2 = 5x2 + 8

Reorder the terms:
-4 + 9x2 = 8 + 5x2

Solving
-4 + 9x2 = 8 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-4 + 9x2 + -5x2 = 8 + 5x2 + -5x2

Combine like terms: 9x2 + -5x2 = 4x2
-4 + 4x2 = 8 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-4 + 4x2 = 8 + 0
-4 + 4x2 = 8

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

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

Combine like terms: 8 + 4 = 12
4x2 = 12

Divide each side by '4'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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