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Simplifying 4c + 10c2 + -14 = 0 Reorder the terms: -14 + 4c + 10c2 = 0 Solving -14 + 4c + 10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 2c + 5c2) = 0 Factor a trinomial. 2((-7 + -5c)(1 + -1c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -5c)' equal to zero and attempt to solve: Simplifying -7 + -5c = 0 Solving -7 + -5c = 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 + -5c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5c = 0 + 7 -5c = 0 + 7 Combine like terms: 0 + 7 = 7 -5c = 7 Divide each side by '-5'. c = -1.4 Simplifying c = -1.4Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {-1.4, 1}
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