4x^2-53-105=0

Solution for 4x^2-53-105=0 equation:

Simplifying
4x2 + -53 + -105 = 0

Reorder the terms:
-53 + -105 + 4x2 = 0

Combine like terms: -53 + -105 = -158
-158 + 4x2 = 0

Solving
-158 + 4x2 = 0

Solving for variable 'x'.

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

Add '158' to each side of the equation.
-158 + 158 + 4x2 = 0 + 158

Combine like terms: -158 + 158 = 0
0 + 4x2 = 0 + 158
4x2 = 0 + 158

Combine like terms: 0 + 158 = 158
4x2 = 158

Divide each side by '4'.
x2 = 39.5

Simplifying
x2 = 39.5

Take the square root of each side:
x = {-6.284902545, 6.284902545}