18x^2+4[6(x^2-2)+5]=

Solution for 18x^2+4[6(x^2-2)+5]= equation:

Simplifying
18x2 + 4[6(x2 + -2) + 5] = 0

Reorder the terms:
18x2 + 4[6(-2 + x2) + 5] = 0
18x2 + 4[(-2 * 6 + x2 * 6) + 5] = 0
18x2 + 4[(-12 + 6x2) + 5] = 0

Reorder the terms:
18x2 + 4[-12 + 5 + 6x2] = 0

Combine like terms: -12 + 5 = -7
18x2 + 4[-7 + 6x2] = 0
18x2 + [-7 * 4 + 6x2 * 4] = 0
18x2 + [-28 + 24x2] = 0

Reorder the terms:
-28 + 18x2 + 24x2 = 0

Combine like terms: 18x2 + 24x2 = 42x2
-28 + 42x2 = 0

Solving
-28 + 42x2 = 0

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 42x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 42x2 = 0 + 28
42x2 = 0 + 28

Combine like terms: 0 + 28 = 28
42x2 = 28

Divide each side by '42'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}