j^2+jk-20k^2=

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Solution for j^2+jk-20k^2= equation:


Simplifying
j2 + jk + -20k2 = 0

Reorder the terms:
jk + j2 + -20k2 = 0

Solving
jk + j2 + -20k2 = 0

Solving for variable 'j'.

Factor a trinomial.
(j + -4k)(j + 5k) = 0

Subproblem 1

Set the factor '(j + -4k)' equal to zero and attempt to solve: Simplifying j + -4k = 0 Solving j + -4k = 0 Move all terms containing j to the left, all other terms to the right. Add '4k' to each side of the equation. j + -4k + 4k = 0 + 4k Combine like terms: -4k + 4k = 0 j + 0 = 0 + 4k j = 0 + 4k Remove the zero: j = 4k Simplifying j = 4k

Subproblem 2

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

Solution

j = {4k, -5k}

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