11x^2+3=20x^2-15

Solution for 11x^2+3=20x^2-15 equation:

Simplifying
11x2 + 3 = 20x2 + -15

Reorder the terms:
3 + 11x2 = 20x2 + -15

Reorder the terms:
3 + 11x2 = -15 + 20x2

Solving
3 + 11x2 = -15 + 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.
3 + 11x2 + -20x2 = -15 + 20x2 + -20x2

Combine like terms: 11x2 + -20x2 = -9x2
3 + -9x2 = -15 + 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
3 + -9x2 = -15 + 0
3 + -9x2 = -15

Add '-3' to each side of the equation.
3 + -3 + -9x2 = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9x2 = -15 + -3
-9x2 = -15 + -3

Combine like terms: -15 + -3 = -18
-9x2 = -18

Divide each side by '-9'.
x2 = 2

Simplifying
x2 = 2

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