3x^2+(6x^2-45)=180

Solution for 3x^2+(6x^2-45)=180 equation:

Simplifying
3x2 + (6x2 + -45) = 180

Reorder the terms:
3x2 + (-45 + 6x2) = 180

Remove parenthesis around (-45 + 6x2)
3x2 + -45 + 6x2 = 180

Reorder the terms:
-45 + 3x2 + 6x2 = 180

Combine like terms: 3x2 + 6x2 = 9x2
-45 + 9x2 = 180

Solving
-45 + 9x2 = 180

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 9x2 = 180 + 45

Combine like terms: -45 + 45 = 0
0 + 9x2 = 180 + 45
9x2 = 180 + 45

Combine like terms: 180 + 45 = 225
9x2 = 225

Divide each side by '9'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}