45+7x^2=200+2x^2

Solution for 45+7x^2=200+2x^2 equation:

Simplifying
45 + 7x2 = 200 + 2x2

Solving
45 + 7x2 = 200 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
45 + 7x2 + -2x2 = 200 + 2x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
45 + 5x2 = 200 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
45 + 5x2 = 200 + 0
45 + 5x2 = 200

Add '-45' to each side of the equation.
45 + -45 + 5x2 = 200 + -45

Combine like terms: 45 + -45 = 0
0 + 5x2 = 200 + -45
5x2 = 200 + -45

Combine like terms: 200 + -45 = 155
5x2 = 155

Divide each side by '5'.
x2 = 31

Simplifying
x2 = 31

Take the square root of each side:
x = {-5.567764363, 5.567764363}