5x^2-70+24=0

Solution for 5x^2-70+24=0 equation:

Simplifying
5x2 + -70 + 24 = 0

Reorder the terms:
-70 + 24 + 5x2 = 0

Combine like terms: -70 + 24 = -46
-46 + 5x2 = 0

Solving
-46 + 5x2 = 0

Solving for variable 'x'.

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

Add '46' to each side of the equation.
-46 + 46 + 5x2 = 0 + 46

Combine like terms: -46 + 46 = 0
0 + 5x2 = 0 + 46
5x2 = 0 + 46

Combine like terms: 0 + 46 = 46
5x2 = 46

Divide each side by '5'.
x2 = 9.2

Simplifying
x2 = 9.2

Take the square root of each side:
x = {-3.033150178, 3.033150178}