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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) = 0Subproblem 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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