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Simplifying 2c2(4c4 + -7) = 0 Reorder the terms: 2c2(-7 + 4c4) = 0 (-7 * 2c2 + 4c4 * 2c2) = 0 (-14c2 + 8c6) = 0 Solving -14c2 + 8c6 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c2'. 2c2(-7 + 4c4) = 0 Ignore the factor 2.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 + 4c4)' equal to zero and attempt to solve: Simplifying -7 + 4c4 = 0 Solving -7 + 4c4 = 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 + 4c4 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4c4 = 0 + 7 4c4 = 0 + 7 Combine like terms: 0 + 7 = 7 4c4 = 7 Divide each side by '4'. c4 = 1.75 Simplifying c4 = 1.75 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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