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Simplifying (12c + 7)(5c + -3) = 0 Reorder the terms: (7 + 12c)(5c + -3) = 0 Reorder the terms: (7 + 12c)(-3 + 5c) = 0 Multiply (7 + 12c) * (-3 + 5c) (7(-3 + 5c) + 12c * (-3 + 5c)) = 0 ((-3 * 7 + 5c * 7) + 12c * (-3 + 5c)) = 0 ((-21 + 35c) + 12c * (-3 + 5c)) = 0 (-21 + 35c + (-3 * 12c + 5c * 12c)) = 0 (-21 + 35c + (-36c + 60c2)) = 0 Combine like terms: 35c + -36c = -1c (-21 + -1c + 60c2) = 0 Solving -21 + -1c + 60c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -12c)(3 + -5c) = 0Subproblem 1
Set the factor '(-7 + -12c)' equal to zero and attempt to solve: Simplifying -7 + -12c = 0 Solving -7 + -12c = 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 + -12c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -12c = 0 + 7 -12c = 0 + 7 Combine like terms: 0 + 7 = 7 -12c = 7 Divide each side by '-12'. c = -0.5833333333 Simplifying c = -0.5833333333Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve: Simplifying 3 + -5c = 0 Solving 3 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 0 + -3 -5c = 0 + -3 Combine like terms: 0 + -3 = -3 -5c = -3 Divide each side by '-5'. c = 0.6 Simplifying c = 0.6Solution
c = {-0.5833333333, 0.6}
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