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Simplifying factor(4k + 5)(k + 1) = 0 Reorder the terms: acfort(5 + 4k)(k + 1) = 0 Reorder the terms: acfort(5 + 4k)(1 + k) = 0 Multiply (5 + 4k) * (1 + k) acfort(5(1 + k) + 4k * (1 + k)) = 0 acfort((1 * 5 + k * 5) + 4k * (1 + k)) = 0 acfort((5 + 5k) + 4k * (1 + k)) = 0 acfort(5 + 5k + (1 * 4k + k * 4k)) = 0 acfort(5 + 5k + (4k + 4k2)) = 0 Combine like terms: 5k + 4k = 9k acfort(5 + 9k + 4k2) = 0 (5 * acfort + 9k * acfort + 4k2 * acfort) = 0 Reorder the terms: (9acfkort + 4acfk2ort + 5acfort) = 0 (9acfkort + 4acfk2ort + 5acfort) = 0 Solving 9acfkort + 4acfk2ort + 5acfort = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'acfort'. acfort(9k + 4k2 + 5) = 0 Factor a trinomial. acfort((k + 1)(4k + 5)) = 0Subproblem 1
Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(k + 1)' equal to zero and attempt to solve: Simplifying k + 1 = 0 Reorder the terms: 1 + k = 0 Solving 1 + k = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Add '-1k' to each side of the equation. k + -1k = -1 + -1k Combine like terms: k + -1k = 0 0 = -1 + -1k Simplifying 0 = -1 + -1k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4k + 5)' equal to zero and attempt to solve: Simplifying 4k + 5 = 0 Reorder the terms: 5 + 4k = 0 Solving 5 + 4k = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 0 + -5 4k = 0 + -5 Combine like terms: 0 + -5 = -5 4k = -5 Add '-4k' to each side of the equation. 4k + -4k = -5 + -4k Combine like terms: 4k + -4k = 0 0 = -5 + -4k Simplifying 0 = -5 + -4k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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