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Simplifying 16j2 + -72jk + 81k2 = 0 Reorder the terms: -72jk + 16j2 + 81k2 = 0 Solving -72jk + 16j2 + 81k2 = 0 Solving for variable 'j'. Factor a trinomial. (4j + -9k)(4j + -9k) = 0Subproblem 1
Set the factor '(4j + -9k)' equal to zero and attempt to solve: Simplifying 4j + -9k = 0 Solving 4j + -9k = 0 Move all terms containing j to the left, all other terms to the right. Add '9k' to each side of the equation. 4j + -9k + 9k = 0 + 9k Combine like terms: -9k + 9k = 0 4j + 0 = 0 + 9k 4j = 0 + 9k Remove the zero: 4j = 9k Divide each side by '4'. j = 2.25k Simplifying j = 2.25kSubproblem 2
Set the factor '(4j + -9k)' equal to zero and attempt to solve: Simplifying 4j + -9k = 0 Solving 4j + -9k = 0 Move all terms containing j to the left, all other terms to the right. Add '9k' to each side of the equation. 4j + -9k + 9k = 0 + 9k Combine like terms: -9k + 9k = 0 4j + 0 = 0 + 9k 4j = 0 + 9k Remove the zero: 4j = 9k Divide each side by '4'. j = 2.25k Simplifying j = 2.25kSolution
j = {2.25k, 2.25k}
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