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