10c(d-4c+7)=

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Solution for 10c(d-4c+7)= equation: 


Simplifying
10c(d + -4c + 7) = 0

Reorder the terms:
10c(7 + -4c + d) = 0
(7 * 10c + -4c * 10c + d * 10c) = 0

Reorder the terms:
(70c + 10cd + -40c2) = 0
(70c + 10cd + -40c2) = 0

Solving
70c + 10cd + -40c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '10c'.
10c(7 + d + -4c) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(7 + d + -4c)' equal to zero and attempt to solve:

Simplifying
7 + d + -4c = 0

Reorder the terms:
7 + -4c + d = 0

Solving
7 + -4c + d = 0

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

Add '-7' to each side of the equation.
7 + -4c + -7 + d = 0 + -7

Reorder the terms:
7 + -7 + -4c + d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4c + d = 0 + -7
-4c + d = 0 + -7

Combine like terms: 0 + -7 = -7
-4c + d = -7

Add '-1d' to each side of the equation.
-4c + d + -1d = -7 + -1d

Combine like terms: d + -1d = 0
-4c + 0 = -7 + -1d
-4c = -7 + -1d

Divide each side by '-4'.
c = 1.75 + 0.25d

Simplifying
c = 1.75 + 0.25d
Solution
c = {0, 1.75 + 0.25d}

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