4c*2(2c-5)-c(5c*2-8c)=

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Solution for 4c*2(2c-5)-c(5c*2-8c)= equation:


Simplifying
4c * 2(2c + -5) + -1c(5c * 2 + -8c) = 0

Reorder the terms:
4c * 2(-5 + 2c) + -1c(5c * 2 + -8c) = 0

Reorder the terms for easier multiplication:
4 * 2c(-5 + 2c) + -1c(5c * 2 + -8c) = 0

Multiply 4 * 2
8c(-5 + 2c) + -1c(5c * 2 + -8c) = 0
(-5 * 8c + 2c * 8c) + -1c(5c * 2 + -8c) = 0
(-40c + 16c2) + -1c(5c * 2 + -8c) = 0

Reorder the terms for easier multiplication:
-40c + 16c2 + -1c(5 * 2c + -8c) = 0

Multiply 5 * 2
-40c + 16c2 + -1c(10c + -8c) = 0

Combine like terms: 10c + -8c = 2c
-40c + 16c2 + -1c(2c) = 0

Remove parenthesis around (2c)
-40c + 16c2 + -1c * 2c = 0

Reorder the terms for easier multiplication:
-40c + 16c2 + -1 * 2c * c = 0

Multiply -1 * 2
-40c + 16c2 + -2c * c = 0

Multiply c * c
-40c + 16c2 + -2c2 = 0

Combine like terms: 16c2 + -2c2 = 14c2
-40c + 14c2 = 0

Solving
-40c + 14c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-20 + 7c) = 0

Ignore the factor 2.

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 '(-20 + 7c)' equal to zero and attempt to solve: Simplifying -20 + 7c = 0 Solving -20 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7c = 0 + 20 7c = 0 + 20 Combine like terms: 0 + 20 = 20 7c = 20 Divide each side by '7'. c = 2.857142857 Simplifying c = 2.857142857

Solution

c = {0, 2.857142857}

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