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Simplifying (3c + -2)(7c + -1) = 0 Reorder the terms: (-2 + 3c)(7c + -1) = 0 Reorder the terms: (-2 + 3c)(-1 + 7c) = 0 Multiply (-2 + 3c) * (-1 + 7c) (-2(-1 + 7c) + 3c * (-1 + 7c)) = 0 ((-1 * -2 + 7c * -2) + 3c * (-1 + 7c)) = 0 ((2 + -14c) + 3c * (-1 + 7c)) = 0 (2 + -14c + (-1 * 3c + 7c * 3c)) = 0 (2 + -14c + (-3c + 21c2)) = 0 Combine like terms: -14c + -3c = -17c (2 + -17c + 21c2) = 0 Solving 2 + -17c + 21c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -7c)(2 + -3c) = 0Subproblem 1
Set the factor '(1 + -7c)' equal to zero and attempt to solve: Simplifying 1 + -7c = 0 Solving 1 + -7c = 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 + -7c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7c = 0 + -1 -7c = 0 + -1 Combine like terms: 0 + -1 = -1 -7c = -1 Divide each side by '-7'. c = 0.1428571429 Simplifying c = 0.1428571429Subproblem 2
Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667Solution
c = {0.1428571429, 0.6666666667}
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