2x^2-40=11

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Solution for 2x^2-40=11 equation:


Simplifying
2x2 + -40 = 11

Reorder the terms:
-40 + 2x2 = 11

Solving
-40 + 2x2 = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '40' to each side of the equation.
-40 + 40 + 2x2 = 11 + 40

Combine like terms: -40 + 40 = 0
0 + 2x2 = 11 + 40
2x2 = 11 + 40

Combine like terms: 11 + 40 = 51
2x2 = 51

Divide each side by '2'.
x2 = 25.5

Simplifying
x2 = 25.5

Take the square root of each side:
x = {-5.049752469, 5.049752469}

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