20x^2-53x^2+18=0

Solution for 20x^2-53x^2+18=0 equation:

Simplifying
20x2 + -53x2 + 18 = 0

Reorder the terms:
18 + 20x2 + -53x2 = 0

Combine like terms: 20x2 + -53x2 = -33x2
18 + -33x2 = 0

Solving
18 + -33x2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -33x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -33x2 = 0 + -18
-33x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-33x2 = -18

Divide each side by '-33'.
x2 = 0.5454545455

Simplifying
x2 = 0.5454545455

Take the square root of each side:
x = {-0.738548946, 0.738548946}