8+9x^2=3x^2+10

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Solution for 8+9x^2=3x^2+10 equation: 


Simplifying
8 + 9x2 = 3x2 + 10

Reorder the terms:
8 + 9x2 = 10 + 3x2

Solving
8 + 9x2 = 10 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
8 + 9x2 + -3x2 = 10 + 3x2 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
8 + 6x2 = 10 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + 6x2 = 10 + 0
8 + 6x2 = 10

Add '-8' to each side of the equation.
8 + -8 + 6x2 = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 6x2 = 10 + -8
6x2 = 10 + -8

Combine like terms: 10 + -8 = 2
6x2 = 2

Divide each side by '6'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}

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