4x^2+13-75=0

Solution for 4x^2+13-75=0 equation:

Simplifying
4x2 + 13 + -75 = 0

Reorder the terms:
13 + -75 + 4x2 = 0

Combine like terms: 13 + -75 = -62
-62 + 4x2 = 0

Solving
-62 + 4x2 = 0

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 4x2 = 0 + 62

Combine like terms: -62 + 62 = 0
0 + 4x2 = 0 + 62
4x2 = 0 + 62

Combine like terms: 0 + 62 = 62
4x2 = 62

Divide each side by '4'.
x2 = 15.5

Simplifying
x2 = 15.5

Take the square root of each side:
x = {-3.937003937, 3.937003937}