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Simplifying (5c + 3)(c + -4) = 0 Reorder the terms: (3 + 5c)(c + -4) = 0 Reorder the terms: (3 + 5c)(-4 + c) = 0 Multiply (3 + 5c) * (-4 + c) (3(-4 + c) + 5c * (-4 + c)) = 0 ((-4 * 3 + c * 3) + 5c * (-4 + c)) = 0 ((-12 + 3c) + 5c * (-4 + c)) = 0 (-12 + 3c + (-4 * 5c + c * 5c)) = 0 (-12 + 3c + (-20c + 5c2)) = 0 Combine like terms: 3c + -20c = -17c (-12 + -17c + 5c2) = 0 Solving -12 + -17c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -5c)(4 + -1c) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-0.6, 4}
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