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Simplifying 5c2(4x3 + 7) = 0 Reorder the terms: 5c2(7 + 4x3) = 0 (7 * 5c2 + 4x3 * 5c2) = 0 (35c2 + 20c2x3) = 0 Solving 35c2 + 20c2x3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5c2'. 5c2(7 + 4x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(7 + 4x3)' equal to zero and attempt to solve: Simplifying 7 + 4x3 = 0 Solving 7 + 4x3 = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x3 = 0 + -7 4x3 = 0 + -7 Combine like terms: 0 + -7 = -7 4x3 = -7 Add '-4x3' to each side of the equation. 4x3 + -4x3 = -7 + -4x3 Combine like terms: 4x3 + -4x3 = 0 0 = -7 + -4x3 Simplifying 0 = -7 + -4x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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