2x^2-19=-x^2+8

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Solution for 2x^2-19=-x^2+8 equation: 


Simplifying
2x2 + -19 = -1x2 + 8

Reorder the terms:
-19 + 2x2 = -1x2 + 8

Reorder the terms:
-19 + 2x2 = 8 + -1x2

Solving
-19 + 2x2 = 8 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-19 + 2x2 + x2 = 8 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-19 + 3x2 = 8 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-19 + 3x2 = 8 + 0
-19 + 3x2 = 8

Add '19' to each side of the equation.
-19 + 19 + 3x2 = 8 + 19

Combine like terms: -19 + 19 = 0
0 + 3x2 = 8 + 19
3x2 = 8 + 19

Combine like terms: 8 + 19 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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