4x^2-39=10

Solution for 4x^2-39=10 equation:

Simplifying
4x2 + -39 = 10

Reorder the terms:
-39 + 4x2 = 10

Solving
-39 + 4x2 = 10

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 4x2 = 10 + 39

Combine like terms: -39 + 39 = 0
0 + 4x2 = 10 + 39
4x2 = 10 + 39

Combine like terms: 10 + 39 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}