18x^2-51+15=0

Solution for 18x^2-51+15=0 equation:

Simplifying
18x2 + -51 + 15 = 0

Reorder the terms:
-51 + 15 + 18x2 = 0

Combine like terms: -51 + 15 = -36
-36 + 18x2 = 0

Solving
-36 + 18x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 18x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 18x2 = 0 + 36
18x2 = 0 + 36

Combine like terms: 0 + 36 = 36
18x2 = 36

Divide each side by '18'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}