4x*9x+6=90

Solution for 4x*9x+6=90 equation:

Simplifying
4x * 9x + 6 = 90

Reorder the terms for easier multiplication:
4 * 9x * x + 6 = 90

Multiply 4 * 9
36x * x + 6 = 90

Multiply x * x
36x2 + 6 = 90

Reorder the terms:
6 + 36x2 = 90

Solving
6 + 36x2 = 90

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 36x2 = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 36x2 = 90 + -6
36x2 = 90 + -6

Combine like terms: 90 + -6 = 84
36x2 = 84

Divide each side by '36'.
x2 = 2.333333333

Simplifying
x2 = 2.333333333

Take the square root of each side:
x = {-1.527525232, 1.527525232}