5x*6x+14=34

Solution for 5x*6x+14=34 equation:

Simplifying
5x * 6x + 14 = 34

Reorder the terms for easier multiplication:
5 * 6x * x + 14 = 34

Multiply 5 * 6
30x * x + 14 = 34

Multiply x * x
30x2 + 14 = 34

Reorder the terms:
14 + 30x2 = 34

Solving
14 + 30x2 = 34

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 30x2 = 34 + -14

Combine like terms: 14 + -14 = 0
0 + 30x2 = 34 + -14
30x2 = 34 + -14

Combine like terms: 34 + -14 = 20
30x2 = 20

Divide each side by '30'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

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