x^2-3(-2x^2+41)+11=0

Solution for x^2-3(-2x^2+41)+11=0 equation:

Simplifying
x2 + -3(-2x2 + 41) + 11 = 0

Reorder the terms:
x2 + -3(41 + -2x2) + 11 = 0
x2 + (41 * -3 + -2x2 * -3) + 11 = 0
x2 + (-123 + 6x2) + 11 = 0

Reorder the terms:
-123 + 11 + x2 + 6x2 = 0

Combine like terms: -123 + 11 = -112
-112 + x2 + 6x2 = 0

Combine like terms: x2 + 6x2 = 7x2
-112 + 7x2 = 0

Solving
-112 + 7x2 = 0

Solving for variable 'x'.

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

Add '112' to each side of the equation.
-112 + 112 + 7x2 = 0 + 112

Combine like terms: -112 + 112 = 0
0 + 7x2 = 0 + 112
7x2 = 0 + 112

Combine like terms: 0 + 112 = 112
7x2 = 112

Divide each side by '7'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}