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Simplifying (2c + -1)(6c + 7) = 0 Reorder the terms: (-1 + 2c)(6c + 7) = 0 Reorder the terms: (-1 + 2c)(7 + 6c) = 0 Multiply (-1 + 2c) * (7 + 6c) (-1(7 + 6c) + 2c * (7 + 6c)) = 0 ((7 * -1 + 6c * -1) + 2c * (7 + 6c)) = 0 ((-7 + -6c) + 2c * (7 + 6c)) = 0 (-7 + -6c + (7 * 2c + 6c * 2c)) = 0 (-7 + -6c + (14c + 12c2)) = 0 Combine like terms: -6c + 14c = 8c (-7 + 8c + 12c2) = 0 Solving -7 + 8c + 12c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -6c)(1 + -2c) = 0Subproblem 1
Set the factor '(-7 + -6c)' equal to zero and attempt to solve: Simplifying -7 + -6c = 0 Solving -7 + -6c = 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 + -6c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6c = 0 + 7 -6c = 0 + 7 Combine like terms: 0 + 7 = 7 -6c = 7 Divide each side by '-6'. c = -1.166666667 Simplifying c = -1.166666667Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5Solution
c = {-1.166666667, 0.5}
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