x^2+13=10x^2

Solution for x^2+13=10x^2 equation:

Simplifying
x2 + 13 = 10x2

Reorder the terms:
13 + x2 = 10x2

Solving
13 + x2 = 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.
13 + x2 + -10x2 = 10x2 + -10x2

Combine like terms: x2 + -10x2 = -9x2
13 + -9x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
13 + -9x2 = 0

Add '-13' to each side of the equation.
13 + -13 + -9x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -9x2 = 0 + -13
-9x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-9x2 = -13

Divide each side by '-9'.
x2 = 1.444444444

Simplifying
x2 = 1.444444444

Take the square root of each side:
x = {-1.201850425, 1.201850425}