-7x^2+6=20x^2

Solution for -7x^2+6=20x^2 equation:

Simplifying
-7x2 + 6 = 20x2

Reorder the terms:
6 + -7x2 = 20x2

Solving
6 + -7x2 = 20x2

Solving for variable 'x'.

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

Add '-20x2' to each side of the equation.
6 + -7x2 + -20x2 = 20x2 + -20x2

Combine like terms: -7x2 + -20x2 = -27x2
6 + -27x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
6 + -27x2 = 0

Add '-6' to each side of the equation.
6 + -6 + -27x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -27x2 = 0 + -6
-27x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-27x2 = -6

Divide each side by '-27'.
x2 = 0.2222222222

Simplifying
x2 = 0.2222222222

Take the square root of each side:
x = {-0.471404521, 0.471404521}