9(3x^2-9)-[2(9x^2-1)+4]=

Solution for 9(3x^2-9)-[2(9x^2-1)+4]= equation:

Simplifying
9(3x2 + -9) + -1[2(9x2 + -1) + 4] = 0

Reorder the terms:
9(-9 + 3x2) + -1[2(9x2 + -1) + 4] = 0
(-9 * 9 + 3x2 * 9) + -1[2(9x2 + -1) + 4] = 0
(-81 + 27x2) + -1[2(9x2 + -1) + 4] = 0

Reorder the terms:
-81 + 27x2 + -1[2(-1 + 9x2) + 4] = 0
-81 + 27x2 + -1[(-1 * 2 + 9x2 * 2) + 4] = 0
-81 + 27x2 + -1[(-2 + 18x2) + 4] = 0

Reorder the terms:
-81 + 27x2 + -1[-2 + 4 + 18x2] = 0

Combine like terms: -2 + 4 = 2
-81 + 27x2 + -1[2 + 18x2] = 0
-81 + 27x2 + [2 * -1 + 18x2 * -1] = 0
-81 + 27x2 + [-2 + -18x2] = 0

Reorder the terms:
-81 + -2 + 27x2 + -18x2 = 0

Combine like terms: -81 + -2 = -83
-83 + 27x2 + -18x2 = 0

Combine like terms: 27x2 + -18x2 = 9x2
-83 + 9x2 = 0

Solving
-83 + 9x2 = 0

Solving for variable 'x'.

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

Add '83' to each side of the equation.
-83 + 83 + 9x2 = 0 + 83

Combine like terms: -83 + 83 = 0
0 + 9x2 = 0 + 83
9x2 = 0 + 83

Combine like terms: 0 + 83 = 83
9x2 = 83

Divide each side by '9'.
x2 = 9.222222222

Simplifying
x2 = 9.222222222

Take the square root of each side:
x = {-3.036811193, 3.036811193}