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Simplifying
3x2 + -40 = 365 + -2x2
Reorder the terms:
-40 + 3x2 = 365 + -2x2
Solving
-40 + 3x2 = 365 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
-40 + 3x2 + 2x2 = 365 + -2x2 + 2x2
Combine like terms: 3x2 + 2x2 = 5x2
-40 + 5x2 = 365 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-40 + 5x2 = 365 + 0
-40 + 5x2 = 365
Add '40' to each side of the equation.
-40 + 40 + 5x2 = 365 + 40
Combine like terms: -40 + 40 = 0
0 + 5x2 = 365 + 40
5x2 = 365 + 40
Combine like terms: 365 + 40 = 405
5x2 = 405
Divide each side by '5'.
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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