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Simplifying j3 + 10j2 + 25j = 0 Reorder the terms: 25j + 10j2 + j3 = 0 Solving 25j + 10j2 + j3 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), 'j'. j(25 + 10j + j2) = 0 Factor a trinomial. j((5 + j)(5 + j)) = 0Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5Subproblem 3
Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5Solution
j = {0, -5, -5}
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