2x(9x*2-3x)-5=90

Solution for 2x(9x*2-3x)-5=90 equation:

Simplifying
2x(9x * 2 + -3x) + -5 = 90

Reorder the terms for easier multiplication:
2x(9 * 2x + -3x) + -5 = 90

Multiply 9 * 2
2x(18x + -3x) + -5 = 90

Combine like terms: 18x + -3x = 15x
2x(15x) + -5 = 90

Remove parenthesis around (15x)
2x * 15x + -5 = 90

Reorder the terms for easier multiplication:
2 * 15x * x + -5 = 90

Multiply 2 * 15
30x * x + -5 = 90

Multiply x * x
30x2 + -5 = 90

Reorder the terms:
-5 + 30x2 = 90

Solving
-5 + 30x2 = 90

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 30x2 = 90 + 5

Combine like terms: -5 + 5 = 0
0 + 30x2 = 90 + 5
30x2 = 90 + 5

Combine like terms: 90 + 5 = 95
30x2 = 95

Divide each side by '30'.
x2 = 3.166666667

Simplifying
x2 = 3.166666667

Take the square root of each side:
x = {-1.779513042, 1.779513042}