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Simplifying
2x2 + -65 = x2 + 15
Reorder the terms:
-65 + 2x2 = x2 + 15
Reorder the terms:
-65 + 2x2 = 15 + x2
Solving
-65 + 2x2 = 15 + 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.
-65 + 2x2 + -1x2 = 15 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-65 + 1x2 = 15 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-65 + 1x2 = 15 + 0
-65 + 1x2 = 15
Add '65' to each side of the equation.
-65 + 65 + 1x2 = 15 + 65
Combine like terms: -65 + 65 = 0
0 + 1x2 = 15 + 65
1x2 = 15 + 65
Combine like terms: 15 + 65 = 80
1x2 = 80
Divide each side by '1'.
x2 = 80
Simplifying
x2 = 80
Take the square root of each side:
x = {-8.94427191, 8.94427191}
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