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Simplifying (15c2 + -3c) * and(35c + -7) = 0 Reorder the terms: (-3c + 15c2) * and(35c + -7) = 0 Reorder the terms: (-3c + 15c2) * adn(-7 + 35c) = 0 Reorder the terms for easier multiplication: adn(-3c + 15c2)(-7 + 35c) = 0 Multiply (-3c + 15c2) * (-7 + 35c) adn(-3c * (-7 + 35c) + 15c2 * (-7 + 35c)) = 0 adn((-7 * -3c + 35c * -3c) + 15c2 * (-7 + 35c)) = 0 adn((21c + -105c2) + 15c2 * (-7 + 35c)) = 0 adn(21c + -105c2 + (-7 * 15c2 + 35c * 15c2)) = 0 adn(21c + -105c2 + (-105c2 + 525c3)) = 0 Combine like terms: -105c2 + -105c2 = -210c2 adn(21c + -210c2 + 525c3) = 0 (21c * adn + -210c2 * adn + 525c3 * adn) = 0 (21acdn + -210ac2dn + 525ac3dn) = 0 Solving 21acdn + -210ac2dn + 525ac3dn = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '21acdn'. 21acdn(1 + -10c + 25c2) = 0 Factor a trinomial. 21acdn((1 + -5c)(1 + -5c)) = 0 Ignore the factor 21.Subproblem 1
Set the factor 'acdn' equal to zero and attempt to solve: Simplifying acdn = 0 Solving acdn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acdn = 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 a 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 Add '5c' to each side of the equation. -5c + 5c = -1 + 5c Combine like terms: -5c + 5c = 0 0 = -1 + 5c Simplifying 0 = -1 + 5c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 a 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 Add '5c' to each side of the equation. -5c + 5c = -1 + 5c Combine like terms: -5c + 5c = 0 0 = -1 + 5c Simplifying 0 = -1 + 5c 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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