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 = -28
-28 + 6x2 = 0

Solving
-28 + 6x2 = 0

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 6x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 6x2 = 0 + 28
6x2 = 0 + 28

Combine like terms: 0 + 28 = 28
6x2 = 28

Divide each side by '6'.
x2 = 4.666666667

Simplifying
x2 = 4.666666667

Take the square root of each side:
x = {-2.1602469, 2.1602469}