6x^2+2=5x^2+18

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Solution for 6x^2+2=5x^2+18 equation: 


Simplifying
6x2 + 2 = 5x2 + 18

Reorder the terms:
2 + 6x2 = 5x2 + 18

Reorder the terms:
2 + 6x2 = 18 + 5x2

Solving
2 + 6x2 = 18 + 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.
2 + 6x2 + -5x2 = 18 + 5x2 + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
2 + 1x2 = 18 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2 + 1x2 = 18 + 0
2 + 1x2 = 18

Add '-2' to each side of the equation.
2 + -2 + 1x2 = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 1x2 = 18 + -2
1x2 = 18 + -2

Combine like terms: 18 + -2 = 16
1x2 = 16

Divide each side by '1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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