3c(5c-7)(4c+3)=

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Solution for 3c(5c-7)(4c+3)= equation: 


Simplifying
3c(5c + -7)(4c + 3) = 0

Reorder the terms:
3c(-7 + 5c)(4c + 3) = 0

Reorder the terms:
3c(-7 + 5c)(3 + 4c) = 0

Multiply (-7 + 5c) * (3 + 4c)
3c(-7(3 + 4c) + 5c * (3 + 4c)) = 0
3c((3 * -7 + 4c * -7) + 5c * (3 + 4c)) = 0
3c((-21 + -28c) + 5c * (3 + 4c)) = 0
3c(-21 + -28c + (3 * 5c + 4c * 5c)) = 0
3c(-21 + -28c + (15c + 20c2)) = 0

Combine like terms: -28c + 15c = -13c
3c(-21 + -13c + 20c2) = 0
(-21 * 3c + -13c * 3c + 20c2 * 3c) = 0
(-63c + -39c2 + 60c3) = 0

Solving
-63c + -39c2 + 60c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c'.
3c(-21 + -13c + 20c2) = 0

Factor a trinomial.
3c((-3 + -4c)(7 + -5c)) = 0

Ignore the factor 3.

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 '(-3 + -4c)' equal to zero and attempt to solve:

Simplifying
-3 + -4c = 0

Solving
-3 + -4c = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4c = 0 + 3
-4c = 0 + 3

Combine like terms: 0 + 3 = 3
-4c = 3

Divide each side by '-4'.
c = -0.75

Simplifying
c = -0.75

Subproblem 3
Set the factor '(7 + -5c)' equal to zero and attempt to solve:

Simplifying
7 + -5c = 0

Solving
7 + -5c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5c = 0 + -7
-5c = 0 + -7

Combine like terms: 0 + -7 = -7
-5c = -7

Divide each side by '-5'.
c = 1.4

Simplifying
c = 1.4
Solution
c = {0, -0.75, 1.4}

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