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Simplifying
13x2 + -18 = x2 + 80
Reorder the terms:
-18 + 13x2 = x2 + 80
Reorder the terms:
-18 + 13x2 = 80 + x2
Solving
-18 + 13x2 = 80 + 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 + 13x2 + -1x2 = 80 + x2 + -1x2
Combine like terms: 13x2 + -1x2 = 12x2
-18 + 12x2 = 80 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-18 + 12x2 = 80 + 0
-18 + 12x2 = 80
Add '18' to each side of the equation.
-18 + 18 + 12x2 = 80 + 18
Combine like terms: -18 + 18 = 0
0 + 12x2 = 80 + 18
12x2 = 80 + 18
Combine like terms: 80 + 18 = 98
12x2 = 98
Divide each side by '12'.
x2 = 8.166666667
Simplifying
x2 = 8.166666667
Take the square root of each side:
x = {-2.857738033, 2.857738033}
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