5x^2-43=-24

Solution for 5x^2-43=-24 equation:

Simplifying
5x2 + -43 = -24

Reorder the terms:
-43 + 5x2 = -24

Solving
-43 + 5x2 = -24

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 5x2 = -24 + 43

Combine like terms: -43 + 43 = 0
0 + 5x2 = -24 + 43
5x2 = -24 + 43

Combine like terms: -24 + 43 = 19
5x2 = 19

Divide each side by '5'.
x2 = 3.8

Simplifying
x2 = 3.8

Take the square root of each side:
x = {-1.949358869, 1.949358869}