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Simplifying n2 + 18nj + 17j2 = 0 Reorder the terms: 18jn + 17j2 + n2 = 0 Solving 18jn + 17j2 + n2 = 0 Solving for variable 'j'. Factor a trinomial. (17j + n)(j + n) = 0Subproblem 1
Set the factor '(17j + n)' equal to zero and attempt to solve: Simplifying 17j + n = 0 Solving 17j + n = 0 Move all terms containing j to the left, all other terms to the right. Add '-1n' to each side of the equation. 17j + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 17j + 0 = 0 + -1n 17j = 0 + -1n Remove the zero: 17j = -1n Divide each side by '17'. j = -0.05882352941n Simplifying j = -0.05882352941nSubproblem 2
Set the factor '(j + n)' equal to zero and attempt to solve: Simplifying j + n = 0 Solving j + n = 0 Move all terms containing j to the left, all other terms to the right. Add '-1n' to each side of the equation. j + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 j + 0 = 0 + -1n j = 0 + -1n Remove the zero: j = -1n Simplifying j = -1nSolution
j = {-0.05882352941n, -1n}
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