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Simplifying 2j2 + -10j2k + 8j2k2 = 0 Solving 2j2 + -10j2k + 8j2k2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2j2'. 2j2(1 + -5k + 4k2) = 0 Factor a trinomial. 2j2((1 + -4k)(1 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'j2' equal to zero and attempt to solve: Simplifying j2 = 0 Solving j2 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j2 = 0 Take the square root of each side: j = {0}Subproblem 2
Set the factor '(1 + -4k)' equal to zero and attempt to solve: Simplifying 1 + -4k = 0 Solving 1 + -4k = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Add '4k' to each side of the equation. -4k + 4k = -1 + 4k Combine like terms: -4k + 4k = 0 0 = -1 + 4k Simplifying 0 = -1 + 4k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Add 'k' to each side of the equation. -1k + k = -1 + k Combine like terms: -1k + k = 0 0 = -1 + k Simplifying 0 = -1 + k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
j = {0}
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