100=x^2+9x^2

Solution for 100=x^2+9x^2 equation:

Simplifying
100 = x2 + 9x2

Combine like terms: x2 + 9x2 = 10x2
100 = 10x2

Solving
100 = 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
100 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
100 + -10x2 = 0

Add '-100' to each side of the equation.
100 + -100 + -10x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -10x2 = 0 + -100
-10x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-10x2 = -100

Divide each side by '-10'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}