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Simplifying (7c + -3)(8c + 5) = 0 Reorder the terms: (-3 + 7c)(8c + 5) = 0 Reorder the terms: (-3 + 7c)(5 + 8c) = 0 Multiply (-3 + 7c) * (5 + 8c) (-3(5 + 8c) + 7c * (5 + 8c)) = 0 ((5 * -3 + 8c * -3) + 7c * (5 + 8c)) = 0 ((-15 + -24c) + 7c * (5 + 8c)) = 0 (-15 + -24c + (5 * 7c + 8c * 7c)) = 0 (-15 + -24c + (35c + 56c2)) = 0 Combine like terms: -24c + 35c = 11c (-15 + 11c + 56c2) = 0 Solving -15 + 11c + 56c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -8c)(3 + -7c) = 0Subproblem 1
Set the factor '(-5 + -8c)' equal to zero and attempt to solve: Simplifying -5 + -8c = 0 Solving -5 + -8c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8c = 0 + 5 -8c = 0 + 5 Combine like terms: 0 + 5 = 5 -8c = 5 Divide each side by '-8'. c = -0.625 Simplifying c = -0.625Subproblem 2
Set the factor '(3 + -7c)' equal to zero and attempt to solve: Simplifying 3 + -7c = 0 Solving 3 + -7c = 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 + -7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7c = 0 + -3 -7c = 0 + -3 Combine like terms: 0 + -3 = -3 -7c = -3 Divide each side by '-7'. c = 0.4285714286 Simplifying c = 0.4285714286Solution
c = {-0.625, 0.4285714286}
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