0=4x^2-20x+24

Solution for 0=4x^2-20x+24 equation:

Simplifying
0 = 4x2 + -20x + 24

Reorder the terms:
0 = 24 + -20x + 4x2

Solving
0 = 24 + -20x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 20x + -4x2 = 24 + -20x + 4x2 + -24 + 20x + -4x2

Reorder the terms:
-24 + 20x + -4x2 = 24 + -24 + -20x + 20x + 4x2 + -4x2

Combine like terms: 24 + -24 = 0
-24 + 20x + -4x2 = 0 + -20x + 20x + 4x2 + -4x2
-24 + 20x + -4x2 = -20x + 20x + 4x2 + -4x2

Combine like terms: -20x + 20x = 0
-24 + 20x + -4x2 = 0 + 4x2 + -4x2
-24 + 20x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-24 + 20x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 5x + -1x2) = 0

Factor a trinomial.
4((-3 + x)(2 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {3, 2}