4k^2+26k+36=3k^2+11k

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Solution for 4k^2+26k+36=3k^2+11k equation:


Simplifying
4k2 + 26k + 36 = 3k2 + 11k

Reorder the terms:
36 + 26k + 4k2 = 3k2 + 11k

Reorder the terms:
36 + 26k + 4k2 = 11k + 3k2

Solving
36 + 26k + 4k2 = 11k + 3k2

Solving for variable 'k'.

Reorder the terms:
36 + 26k + -11k + 4k2 + -3k2 = 11k + 3k2 + -11k + -3k2

Combine like terms: 26k + -11k = 15k
36 + 15k + 4k2 + -3k2 = 11k + 3k2 + -11k + -3k2

Combine like terms: 4k2 + -3k2 = 1k2
36 + 15k + 1k2 = 11k + 3k2 + -11k + -3k2

Reorder the terms:
36 + 15k + 1k2 = 11k + -11k + 3k2 + -3k2

Combine like terms: 11k + -11k = 0
36 + 15k + 1k2 = 0 + 3k2 + -3k2
36 + 15k + 1k2 = 3k2 + -3k2

Combine like terms: 3k2 + -3k2 = 0
36 + 15k + 1k2 = 0

Factor a trinomial.
(12 + k)(3 + k) = 0

Subproblem 1

Set the factor '(12 + k)' equal to zero and attempt to solve: Simplifying 12 + k = 0 Solving 12 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + k = 0 + -12 k = 0 + -12 Combine like terms: 0 + -12 = -12 k = -12 Simplifying k = -12

Subproblem 2

Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3

Solution

k = {-12, -3}

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