6x^2-17-45=0

Solution for 6x^2-17-45=0 equation:

Simplifying
6x2 + -17 + -45 = 0

Reorder the terms:
-17 + -45 + 6x2 = 0

Combine like terms: -17 + -45 = -62
-62 + 6x2 = 0

Solving
-62 + 6x2 = 0

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 6x2 = 0 + 62

Combine like terms: -62 + 62 = 0
0 + 6x2 = 0 + 62
6x2 = 0 + 62

Combine like terms: 0 + 62 = 62
6x2 = 62

Divide each side by '6'.
x2 = 10.33333333

Simplifying
x2 = 10.33333333

Take the square root of each side:
x = {-3.214550253, 3.214550253}