4x^2+7x^2-36=0

Solution for 4x^2+7x^2-36=0 equation:

Simplifying
4x2 + 7x2 + -36 = 0

Reorder the terms:
-36 + 4x2 + 7x2 = 0

Combine like terms: 4x2 + 7x2 = 11x2
-36 + 11x2 = 0

Solving
-36 + 11x2 = 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 + 11x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 11x2 = 0 + 36
11x2 = 0 + 36

Combine like terms: 0 + 36 = 36
11x2 = 36

Divide each side by '11'.
x2 = 3.272727273

Simplifying
x2 = 3.272727273

Take the square root of each side:
x = {-1.809068068, 1.809068068}