5k^2-11k-5=-7

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Solution for 5k^2-11k-5=-7 equation:


Simplifying
5k2 + -11k + -5 = -7

Reorder the terms:
-5 + -11k + 5k2 = -7

Solving
-5 + -11k + 5k2 = -7

Solving for variable 'k'.

Reorder the terms:
-5 + 7 + -11k + 5k2 = -7 + 7

Combine like terms: -5 + 7 = 2
2 + -11k + 5k2 = -7 + 7

Combine like terms: -7 + 7 = 0
2 + -11k + 5k2 = 0

Factor a trinomial.
(1 + -5k)(2 + -1k) = 0

Subproblem 1

Set the factor '(1 + -5k)' equal to zero and attempt to solve: Simplifying 1 + -5k = 0 Solving 1 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 0 + -1 -5k = 0 + -1 Combine like terms: 0 + -1 = -1 -5k = -1 Divide each side by '-5'. k = 0.2 Simplifying k = 0.2

Subproblem 2

Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2

Solution

k = {0.2, 2}

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