4csquared(2c-5)-c(5squared-8c)=

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


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

Reorder the terms:
4acdeqrsu(-5 + 2c) + -1c(5squared + -8c) = 0
(-5 * 4acdeqrsu + 2c * 4acdeqrsu) + -1c(5squared + -8c) = 0
(-20acdeqrsu + 8ac2deqrsu) + -1c(5squared + -8c) = 0
-20acdeqrsu + 8ac2deqrsu + (5adeqrsu * -1c + -8c * -1c) = 0
-20acdeqrsu + 8ac2deqrsu + (-5acdeqrsu + 8c2) = 0

Reorder the terms:
-20acdeqrsu + -5acdeqrsu + 8ac2deqrsu + 8c2 = 0

Combine like terms: -20acdeqrsu + -5acdeqrsu = -25acdeqrsu
-25acdeqrsu + 8ac2deqrsu + 8c2 = 0

Solving
-25acdeqrsu + 8ac2deqrsu + 8c2 = 0

Solving for variable 'a'.

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

Add '-8c2' to each side of the equation.
-25acdeqrsu + 8ac2deqrsu + 8c2 + -8c2 = 0 + -8c2

Combine like terms: 8c2 + -8c2 = 0
-25acdeqrsu + 8ac2deqrsu + 0 = 0 + -8c2
-25acdeqrsu + 8ac2deqrsu = 0 + -8c2
Remove the zero:
-25acdeqrsu + 8ac2deqrsu = -8c2

Combine like terms: -8c2 + 8c2 = 0
-25acdeqrsu + 8ac2deqrsu + 8c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-25adeqrsu + 8acdeqrsu + 8c) = 0

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-25adeqrsu + 8acdeqrsu + 8c)' equal to zero and attempt to solve: Simplifying -25adeqrsu + 8acdeqrsu + 8c = 0 Reorder the terms: 8acdeqrsu + -25adeqrsu + 8c = 0 Solving 8acdeqrsu + -25adeqrsu + 8c = 0 Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. 8acdeqrsu + -25adeqrsu + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 8acdeqrsu + -25adeqrsu + 0 = 0 + -8c 8acdeqrsu + -25adeqrsu = 0 + -8c Remove the zero: 8acdeqrsu + -25adeqrsu = -8c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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