(60-d)(40-2d)=0

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Solution for (60-d)(40-2d)=0 equation:


Simplifying
(60 + -1d)(40 + -2d) = 0

Multiply (60 + -1d) * (40 + -2d)
(60(40 + -2d) + -1d * (40 + -2d)) = 0
((40 * 60 + -2d * 60) + -1d * (40 + -2d)) = 0
((2400 + -120d) + -1d * (40 + -2d)) = 0
(2400 + -120d + (40 * -1d + -2d * -1d)) = 0
(2400 + -120d + (-40d + 2d2)) = 0

Combine like terms: -120d + -40d = -160d
(2400 + -160d + 2d2) = 0

Solving
2400 + -160d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1200 + -80d + d2) = 0

Factor a trinomial.
2((20 + -1d)(60 + -1d)) = 0

Ignore the factor 2.

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

Simplifying
20 + -1d = 0

Solving
20 + -1d = 0

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

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

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

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

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

Simplifying
d = 20

Subproblem 2
Set the factor '(60 + -1d)' equal to zero and attempt to solve:

Simplifying
60 + -1d = 0

Solving
60 + -1d = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1d = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1d = 0 + -60
-1d = 0 + -60

Combine like terms: 0 + -60 = -60
-1d = -60

Divide each side by '-1'.
d = 60

Simplifying
d = 60
Solution
d = {20, 60}

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