6x*x-29=42

Solution for 6x*x-29=42 equation:

Simplifying
6x * x + -29 = 42

Multiply x * x
6x2 + -29 = 42

Reorder the terms:
-29 + 6x2 = 42

Solving
-29 + 6x2 = 42

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 6x2 = 42 + 29

Combine like terms: -29 + 29 = 0
0 + 6x2 = 42 + 29
6x2 = 42 + 29

Combine like terms: 42 + 29 = 71
6x2 = 71

Divide each side by '6'.
x2 = 11.83333333

Simplifying
x2 = 11.83333333

Take the square root of each side:
x = {-3.43996124, 3.43996124}