4x^2-3(9x^2-27)=-11

Solution for 4x^2-3(9x^2-27)=-11 equation:

Simplifying
4x2 + -3(9x2 + -27) = -11

Reorder the terms:
4x2 + -3(-27 + 9x2) = -11
4x2 + (-27 * -3 + 9x2 * -3) = -11
4x2 + (81 + -27x2) = -11

Reorder the terms:
81 + 4x2 + -27x2 = -11

Combine like terms: 4x2 + -27x2 = -23x2
81 + -23x2 = -11

Solving
81 + -23x2 = -11

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + -81 + -23x2 = -11 + -81

Combine like terms: 81 + -81 = 0
0 + -23x2 = -11 + -81
-23x2 = -11 + -81

Combine like terms: -11 + -81 = -92
-23x2 = -92

Divide each side by '-23'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}