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Simplifying
5x2 + -18 = -2 + x2
Reorder the terms:
-18 + 5x2 = -2 + x2
Solving
-18 + 5x2 = -2 + 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.
-18 + 5x2 + -1x2 = -2 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
-18 + 4x2 = -2 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-18 + 4x2 = -2 + 0
-18 + 4x2 = -2
Add '18' to each side of the equation.
-18 + 18 + 4x2 = -2 + 18
Combine like terms: -18 + 18 = 0
0 + 4x2 = -2 + 18
4x2 = -2 + 18
Combine like terms: -2 + 18 = 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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