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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