(x^2*10)+(x^2-98)=360

Solution for (x^2*10)+(x^2-98)=360 equation:

Simplifying
(x2 * 10) + (x2 + -98) = 360

Reorder the terms for easier multiplication:
(10x2) + (x2 + -98) = 360

Reorder the terms:
(10x2) + (-98 + x2) = 360

Remove parenthesis around (-98 + x2)
(10x2) + -98 + x2 = 360

Reorder the terms:
-98 + (10x2) + x2 = 360

Combine like terms: (10x2) + x2 = 11x2
-98 + 11x2 = 360

Solving
-98 + 11x2 = 360

Solving for variable 'x'.

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

Add '98' to each side of the equation.
-98 + 98 + 11x2 = 360 + 98

Combine like terms: -98 + 98 = 0
0 + 11x2 = 360 + 98
11x2 = 360 + 98

Combine like terms: 360 + 98 = 458
11x2 = 458

Divide each side by '11'.
x2 = 41.63636364

Simplifying
x2 = 41.63636364

Take the square root of each side:
x = {-6.452624554, 6.452624554}