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Simplifying -4c2 + 19c = 21 Reorder the terms: 19c + -4c2 = 21 Solving 19c + -4c2 = 21 Solving for variable 'c'. Reorder the terms: -21 + 19c + -4c2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 19c + -4c2 = 0 Factor a trinomial. (-3 + c)(7 + -4c) = 0Subproblem 1
Set the factor '(-3 + c)' equal to zero and attempt to solve: Simplifying -3 + c = 0 Solving -3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + c = 0 + 3 c = 0 + 3 Combine like terms: 0 + 3 = 3 c = 3 Simplifying c = 3Subproblem 2
Set the factor '(7 + -4c)' equal to zero and attempt to solve: Simplifying 7 + -4c = 0 Solving 7 + -4c = 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 + -4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4c = 0 + -7 -4c = 0 + -7 Combine like terms: 0 + -7 = -7 -4c = -7 Divide each side by '-4'. c = 1.75 Simplifying c = 1.75Solution
c = {3, 1.75}
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