5c^2(3c-7)-2c(5c^2-8c)=

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Solution for 5c^2(3c-7)-2c(5c^2-8c)= equation: 


Simplifying
5c2(3c + -7) + -2c(5c2 + -8c) = 0

Reorder the terms:
5c2(-7 + 3c) + -2c(5c2 + -8c) = 0
(-7 * 5c2 + 3c * 5c2) + -2c(5c2 + -8c) = 0
(-35c2 + 15c3) + -2c(5c2 + -8c) = 0

Reorder the terms:
-35c2 + 15c3 + -2c(-8c + 5c2) = 0
-35c2 + 15c3 + (-8c * -2c + 5c2 * -2c) = 0
-35c2 + 15c3 + (16c2 + -10c3) = 0

Reorder the terms:
-35c2 + 16c2 + 15c3 + -10c3 = 0

Combine like terms: -35c2 + 16c2 = -19c2
-19c2 + 15c3 + -10c3 = 0

Combine like terms: 15c3 + -10c3 = 5c3
-19c2 + 5c3 = 0

Solving
-19c2 + 5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c2'.
c2(-19 + 5c) = 0


Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
c = {0}

Subproblem 2
Set the factor '(-19 + 5c)' equal to zero and attempt to solve:

Simplifying
-19 + 5c = 0

Solving
-19 + 5c = 0

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

Add '19' to each side of the equation.
-19 + 19 + 5c = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5c = 0 + 19
5c = 0 + 19

Combine like terms: 0 + 19 = 19
5c = 19

Divide each side by '5'.
c = 3.8

Simplifying
c = 3.8
Solution
c = {0, 3.8}

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