3x^2+7x^2-20=0

Solution for 3x^2+7x^2-20=0 equation:

Simplifying
3x2 + 7x2 + -20 = 0

Reorder the terms:
-20 + 3x2 + 7x2 = 0

Combine like terms: 3x2 + 7x2 = 10x2
-20 + 10x2 = 0

Solving
-20 + 10x2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10x2 = 0 + 20
10x2 = 0 + 20

Combine like terms: 0 + 20 = 20
10x2 = 20

Divide each side by '10'.
x2 = 2

Simplifying
x2 = 2

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