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Simplifying 75c9 + -3c7 = 0 Reorder the terms: -3c7 + 75c9 = 0 Solving -3c7 + 75c9 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c7'. 3c7(-1 + 25c2) = 0 Factor a difference between two squares. 3c7((1 + 5c)(-1 + 5c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'c7' equal to zero and attempt to solve: Simplifying c7 = 0 Solving c7 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c7 = 0 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 '(1 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Subproblem 3
Set the factor '(-1 + 5c)' equal to zero and attempt to solve: Simplifying -1 + 5c = 0 Solving -1 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5c = 0 + 1 5c = 0 + 1 Combine like terms: 0 + 1 = 1 5c = 1 Divide each side by '5'. c = 0.2 Simplifying c = 0.2Solution
c = {-0.2, 0.2}
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