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Simplifying -100 = c2 + 20c Reorder the terms: -100 = 20c + c2 Solving -100 = 20c + c2 Solving for variable 'c'. Reorder the terms: -100 + -20c + -1c2 = 20c + -20c + c2 + -1c2 Combine like terms: 20c + -20c = 0 -100 + -20c + -1c2 = 0 + c2 + -1c2 -100 + -20c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 -100 + -20c + -1c2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(100 + 20c + c2) = 0 Factor a trinomial. -1((10 + c)(10 + c)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Subproblem 2
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Solution
c = {-10, -10}
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