(20-x)(20-3x)=0

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Solution for (20-x)(20-3x)=0 equation: 


Simplifying
(20 + -1x)(20 + -3x) = 0

Multiply (20 + -1x) * (20 + -3x)
(20(20 + -3x) + -1x * (20 + -3x)) = 0
((20 * 20 + -3x * 20) + -1x * (20 + -3x)) = 0
((400 + -60x) + -1x * (20 + -3x)) = 0
(400 + -60x + (20 * -1x + -3x * -1x)) = 0
(400 + -60x + (-20x + 3x2)) = 0

Combine like terms: -60x + -20x = -80x
(400 + -80x + 3x2) = 0

Solving
400 + -80x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -3x)(20 + -1x) = 0


Subproblem 1
Set the factor '(20 + -3x)' equal to zero and attempt to solve:

Simplifying
20 + -3x = 0

Solving
20 + -3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 0 + -20
-3x = 0 + -20

Combine like terms: 0 + -20 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {6.666666667, 20}

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