(j*j)-9jk-10*k(k)=0

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Solution for (j*j)-9jk-10*k(k)=0 equation:


Simplifying
(j * j) + -9jk + -10k(k) = 0

Multiply j * j
(j2) + -9jk + -10k(k) = 0
j2 + -9jk + -10k(k) = 0

Multiply k * k
j2 + -9jk + -10k2 = 0

Reorder the terms:
-9jk + j2 + -10k2 = 0

Solving
-9jk + j2 + -10k2 = 0

Solving for variable 'j'.

Factor a trinomial.
(j + -10k)(j + k) = 0

Subproblem 1

Set the factor '(j + -10k)' equal to zero and attempt to solve: Simplifying j + -10k = 0 Solving j + -10k = 0 Move all terms containing j to the left, all other terms to the right. Add '10k' to each side of the equation. j + -10k + 10k = 0 + 10k Combine like terms: -10k + 10k = 0 j + 0 = 0 + 10k j = 0 + 10k Remove the zero: j = 10k Simplifying j = 10k

Subproblem 2

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

Solution

j = {10k, -1k}

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