49.4-(14.1x^2)=x^2

Solution for 49.4-(14.1x^2)=x^2 equation:

Simplifying
49.4 + -1(14.1x2) = x2

Remove parenthesis around (14.1x2)
49.4 + -1 * 14.1x2 = x2

Multiply -1 * 14.1
49.4 + -14.1x2 = x2

Solving
49.4 + -14.1x2 = 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.
49.4 + -14.1x2 + -1x2 = x2 + -1x2

Combine like terms: -14.1x2 + -1x2 = -15.1x2
49.4 + -15.1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49.4 + -15.1x2 = 0

Add '-49.4' to each side of the equation.
49.4 + -49.4 + -15.1x2 = 0 + -49.4

Combine like terms: 49.4 + -49.4 = 0.0
0.0 + -15.1x2 = 0 + -49.4
-15.1x2 = 0 + -49.4

Combine like terms: 0 + -49.4 = -49.4
-15.1x2 = -49.4

Divide each side by '-15.1'.
x2 = 3.271523179

Simplifying
x2 = 3.271523179

Take the square root of each side:
x = {-1.808735243, 1.808735243}