5x*6x+6=60

Solution for 5x*6x+6=60 equation:

Simplifying
5x * 6x + 6 = 60

Reorder the terms for easier multiplication:
5 * 6x * x + 6 = 60

Multiply 5 * 6
30x * x + 6 = 60

Multiply x * x
30x2 + 6 = 60

Reorder the terms:
6 + 30x2 = 60

Solving
6 + 30x2 = 60

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 + 30x2 = 60 + -6

Combine like terms: 6 + -6 = 0
0 + 30x2 = 60 + -6
30x2 = 60 + -6

Combine like terms: 60 + -6 = 54
30x2 = 54

Divide each side by '30'.
x2 = 1.8

Simplifying
x2 = 1.8

Take the square root of each side:
x = {-1.341640787, 1.341640787}