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

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


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

Reorder the terms:
5c2(-7 + 3x) + -2c(5c2 + -8) = 0
(-7 * 5c2 + 3x * 5c2) + -2c(5c2 + -8) = 0
(-35c2 + 15c2x) + -2c(5c2 + -8) = 0

Reorder the terms:
-35c2 + 15c2x + -2c(-8 + 5c2) = 0
-35c2 + 15c2x + (-8 * -2c + 5c2 * -2c) = 0
-35c2 + 15c2x + (16c + -10c3) = 0

Reorder the terms:
16c + -35c2 + 15c2x + -10c3 = 0

Solving
16c + -35c2 + 15c2x + -10c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(16 + -35c + 15cx + -10c2) = 0

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 '(16 + -35c + 15cx + -10c2)' equal to zero and attempt to solve: Simplifying 16 + -35c + 15cx + -10c2 = 0 Solving 16 + -35c + 15cx + -10c2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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