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Simplifying 12c2 + -84c + 147 = 0 Reorder the terms: 147 + -84c + 12c2 = 0 Solving 147 + -84c + 12c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(49 + -28c + 4c2) = 0 Factor a trinomial. 3((7 + -2c)(7 + -2c)) = 0 Ignore the factor 3.Subproblem 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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