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Simplifying 9j(6k2 + -2k + 13j) = 0 Reorder the terms: 9j(13j + -2k + 6k2) = 0 (13j * 9j + -2k * 9j + 6k2 * 9j) = 0 Reorder the terms: (-18jk + 54jk2 + 117j2) = 0 (-18jk + 54jk2 + 117j2) = 0 Solving -18jk + 54jk2 + 117j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '9j'. 9j(-2k + 6k2 + 13j) = 0 Ignore the factor 9.Subproblem 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 '(-2k + 6k2 + 13j)' equal to zero and attempt to solve: Simplifying -2k + 6k2 + 13j = 0 Reorder the terms: 13j + -2k + 6k2 = 0 Solving 13j + -2k + 6k2 = 0 Move all terms containing j to the left, all other terms to the right. Add '2k' to each side of the equation. 13j + -2k + 2k + 6k2 = 0 + 2k Combine like terms: -2k + 2k = 0 13j + 0 + 6k2 = 0 + 2k 13j + 6k2 = 0 + 2k Remove the zero: 13j + 6k2 = 2k Add '-6k2' to each side of the equation. 13j + 6k2 + -6k2 = 2k + -6k2 Combine like terms: 6k2 + -6k2 = 0 13j + 0 = 2k + -6k2 13j = 2k + -6k2 Divide each side by '13'. j = 0.1538461538k + -0.4615384615k2 Simplifying j = 0.1538461538k + -0.4615384615k2Solution
j = {0, 0.1538461538k + -0.4615384615k2}
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