45-6x^2=10+x^2

Solution for 45-6x^2=10+x^2 equation:

Simplifying
45 + -6x2 = 10 + x2

Solving
45 + -6x2 = 10 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
45 + -6x2 + -1x2 = 10 + x2 + -1x2

Combine like terms: -6x2 + -1x2 = -7x2
45 + -7x2 = 10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -7x2 = 10 + 0
45 + -7x2 = 10

Add '-45' to each side of the equation.
45 + -45 + -7x2 = 10 + -45

Combine like terms: 45 + -45 = 0
0 + -7x2 = 10 + -45
-7x2 = 10 + -45

Combine like terms: 10 + -45 = -35
-7x2 = -35

Divide each side by '-7'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}