45=4x^2+x^2

Solution for 45=4x^2+x^2 equation:

Simplifying
45 = 4x2 + x2

Combine like terms: 4x2 + x2 = 5x2
45 = 5x2

Solving
45 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
45 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
45 + -5x2 = 0

Add '-45' to each side of the equation.
45 + -45 + -5x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -5x2 = 0 + -45
-5x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-5x2 = -45

Divide each side by '-5'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}