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Simplifying
2x2 + 5 = 5x2 + -22
Reorder the terms:
5 + 2x2 = 5x2 + -22
Reorder the terms:
5 + 2x2 = -22 + 5x2
Solving
5 + 2x2 = -22 + 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.
5 + 2x2 + -5x2 = -22 + 5x2 + -5x2
Combine like terms: 2x2 + -5x2 = -3x2
5 + -3x2 = -22 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
5 + -3x2 = -22 + 0
5 + -3x2 = -22
Add '-5' to each side of the equation.
5 + -5 + -3x2 = -22 + -5
Combine like terms: 5 + -5 = 0
0 + -3x2 = -22 + -5
-3x2 = -22 + -5
Combine like terms: -22 + -5 = -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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