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Simplifying -10c2 + 43c + -28 = 0 Reorder the terms: -28 + 43c + -10c2 = 0 Solving -28 + 43c + -10c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + 2c)(4 + -5c) = 0Subproblem 1
Set the factor '(-7 + 2c)' equal to zero and attempt to solve: Simplifying -7 + 2c = 0 Solving -7 + 2c = 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 + 2c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 0 + 7 2c = 0 + 7 Combine like terms: 0 + 7 = 7 2c = 7 Divide each side by '2'. c = 3.5 Simplifying c = 3.5Subproblem 2
Set the factor '(4 + -5c)' equal to zero and attempt to solve: Simplifying 4 + -5c = 0 Solving 4 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 0 + -4 -5c = 0 + -4 Combine like terms: 0 + -4 = -4 -5c = -4 Divide each side by '-5'. c = 0.8 Simplifying c = 0.8Solution
c = {3.5, 0.8}
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