4x^2-35+8x^2=562

Solution for 4x^2-35+8x^2=562 equation:

Simplifying
4x2 + -35 + 8x2 = 562

Reorder the terms:
-35 + 4x2 + 8x2 = 562

Combine like terms: 4x2 + 8x2 = 12x2
-35 + 12x2 = 562

Solving
-35 + 12x2 = 562

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 12x2 = 562 + 35

Combine like terms: -35 + 35 = 0
0 + 12x2 = 562 + 35
12x2 = 562 + 35

Combine like terms: 562 + 35 = 597
12x2 = 597

Divide each side by '12'.
x2 = 49.75

Simplifying
x2 = 49.75

Take the square root of each side:
x = {-7.05336799, 7.05336799}