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Simplifying (c + 48)(c + -54) = 0 Reorder the terms: (48 + c)(c + -54) = 0 Reorder the terms: (48 + c)(-54 + c) = 0 Multiply (48 + c) * (-54 + c) (48(-54 + c) + c(-54 + c)) = 0 ((-54 * 48 + c * 48) + c(-54 + c)) = 0 ((-2592 + 48c) + c(-54 + c)) = 0 (-2592 + 48c + (-54 * c + c * c)) = 0 (-2592 + 48c + (-54c + c2)) = 0 Combine like terms: 48c + -54c = -6c (-2592 + -6c + c2) = 0 Solving -2592 + -6c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-48 + -1c)(54 + -1c) = 0Subproblem 1
Set the factor '(-48 + -1c)' equal to zero and attempt to solve: Simplifying -48 + -1c = 0 Solving -48 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1c = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1c = 0 + 48 -1c = 0 + 48 Combine like terms: 0 + 48 = 48 -1c = 48 Divide each side by '-1'. c = -48 Simplifying c = -48Subproblem 2
Set the factor '(54 + -1c)' equal to zero and attempt to solve: Simplifying 54 + -1c = 0 Solving 54 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1c = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1c = 0 + -54 -1c = 0 + -54 Combine like terms: 0 + -54 = -54 -1c = -54 Divide each side by '-1'. c = 54 Simplifying c = 54Solution
c = {-48, 54}
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