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Simplifying (7c + 9)(8c + -3) = 0 Reorder the terms: (9 + 7c)(8c + -3) = 0 Reorder the terms: (9 + 7c)(-3 + 8c) = 0 Multiply (9 + 7c) * (-3 + 8c) (9(-3 + 8c) + 7c * (-3 + 8c)) = 0 ((-3 * 9 + 8c * 9) + 7c * (-3 + 8c)) = 0 ((-27 + 72c) + 7c * (-3 + 8c)) = 0 (-27 + 72c + (-3 * 7c + 8c * 7c)) = 0 (-27 + 72c + (-21c + 56c2)) = 0 Combine like terms: 72c + -21c = 51c (-27 + 51c + 56c2) = 0 Solving -27 + 51c + 56c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -7c)(3 + -8c) = 0Subproblem 1
Set the factor '(-9 + -7c)' equal to zero and attempt to solve: Simplifying -9 + -7c = 0 Solving -9 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7c = 0 + 9 -7c = 0 + 9 Combine like terms: 0 + 9 = 9 -7c = 9 Divide each side by '-7'. c = -1.285714286 Simplifying c = -1.285714286Subproblem 2
Set the factor '(3 + -8c)' equal to zero and attempt to solve: Simplifying 3 + -8c = 0 Solving 3 + -8c = 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 + -8c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8c = 0 + -3 -8c = 0 + -3 Combine like terms: 0 + -3 = -3 -8c = -3 Divide each side by '-8'. c = 0.375 Simplifying c = 0.375Solution
c = {-1.285714286, 0.375}
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