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Simplifying c2 + -70c + 1225 = 0 Reorder the terms: 1225 + -70c + c2 = 0 Solving 1225 + -70c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (35 + -1c)(35 + -1c) = 0Subproblem 1
Set the factor '(35 + -1c)' equal to zero and attempt to solve: Simplifying 35 + -1c = 0 Solving 35 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1c = 0 + -35 -1c = 0 + -35 Combine like terms: 0 + -35 = -35 -1c = -35 Divide each side by '-1'. c = 35 Simplifying c = 35Subproblem 2
Set the factor '(35 + -1c)' equal to zero and attempt to solve: Simplifying 35 + -1c = 0 Solving 35 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1c = 0 + -35 -1c = 0 + -35 Combine like terms: 0 + -35 = -35 -1c = -35 Divide each side by '-1'. c = 35 Simplifying c = 35Solution
c = {35, 35}
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