5x^2-13-24=0

Solution for 5x^2-13-24=0 equation:

Simplifying
5x2 + -13 + -24 = 0

Reorder the terms:
-13 + -24 + 5x2 = 0

Combine like terms: -13 + -24 = -37
-37 + 5x2 = 0

Solving
-37 + 5x2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 5x2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 5x2 = 0 + 37
5x2 = 0 + 37

Combine like terms: 0 + 37 = 37
5x2 = 37

Divide each side by '5'.
x2 = 7.4

Simplifying
x2 = 7.4

Take the square root of each side:
x = {-2.720294102, 2.720294102}