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Simplifying 4c2 + 49 = 28c Reorder the terms: 49 + 4c2 = 28c Solving 49 + 4c2 = 28c Solving for variable 'c'. Reorder the terms: 49 + -28c + 4c2 = 28c + -28c Combine like terms: 28c + -28c = 0 49 + -28c + 4c2 = 0 Factor a trinomial. (7 + -2c)(7 + -2c) = 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 '(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 = 3.5Solution
c = {3.5, 3.5}
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