x^2+45=14x^2

Solution for x^2+45=14x^2 equation:

Simplifying
x2 + 45 = 14x2

Reorder the terms:
45 + x2 = 14x2

Solving
45 + x2 = 14x2

Solving for variable 'x'.

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

Add '-14x2' to each side of the equation.
45 + x2 + -14x2 = 14x2 + -14x2

Combine like terms: x2 + -14x2 = -13x2
45 + -13x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
45 + -13x2 = 0

Add '-45' to each side of the equation.
45 + -45 + -13x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -13x2 = 0 + -45
-13x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-13x2 = -45

Divide each side by '-13'.
x2 = 3.461538462

Simplifying
x2 = 3.461538462

Take the square root of each side:
x = {-1.860521019, 1.860521019}