7x^2-5=13

Solution for 7x^2-5=13 equation:

Simplifying
7x2 + -5 = 13

Reorder the terms:
-5 + 7x2 = 13

Solving
-5 + 7x2 = 13

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x2 = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 7x2 = 13 + 5
7x2 = 13 + 5

Combine like terms: 13 + 5 = 18
7x2 = 18

Divide each side by '7'.
x2 = 2.571428571

Simplifying
x2 = 2.571428571

Take the square root of each side:
x = {-1.603567451, 1.603567451}