13x^2-71-42=0

Solution for 13x^2-71-42=0 equation:

Simplifying
13x2 + -71 + -42 = 0

Reorder the terms:
-71 + -42 + 13x2 = 0

Combine like terms: -71 + -42 = -113
-113 + 13x2 = 0

Solving
-113 + 13x2 = 0

Solving for variable 'x'.

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

Add '113' to each side of the equation.
-113 + 113 + 13x2 = 0 + 113

Combine like terms: -113 + 113 = 0
0 + 13x2 = 0 + 113
13x2 = 0 + 113

Combine like terms: 0 + 113 = 113
13x2 = 113

Divide each side by '13'.
x2 = 8.692307692

Simplifying
x2 = 8.692307692

Take the square root of each side:
x = {-2.948271984, 2.948271984}