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Simplifying
5x2 + -5 = x2 + 11
Reorder the terms:
-5 + 5x2 = x2 + 11
Reorder the terms:
-5 + 5x2 = 11 + x2
Solving
-5 + 5x2 = 11 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-5 + 5x2 + -1x2 = 11 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
-5 + 4x2 = 11 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-5 + 4x2 = 11 + 0
-5 + 4x2 = 11
Add '5' to each side of the equation.
-5 + 5 + 4x2 = 11 + 5
Combine like terms: -5 + 5 = 0
0 + 4x2 = 11 + 5
4x2 = 11 + 5
Combine like terms: 11 + 5 = 16
4x2 = 16
Divide each side by '4'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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