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Simplifying 8(j + 12) + 4(k + -19) * d = 0 Reorder the terms: 8(12 + j) + 4(k + -19) * d = 0 (12 * 8 + j * 8) + 4(k + -19) * d = 0 (96 + 8j) + 4(k + -19) * d = 0 Reorder the terms: 96 + 8j + 4(-19 + k) * d = 0 Reorder the terms for easier multiplication: 96 + 8j + 4d(-19 + k) = 0 96 + 8j + (-19 * 4d + k * 4d) = 0 96 + 8j + (-76d + 4dk) = 0 Reorder the terms: 96 + -76d + 4dk + 8j = 0 Solving 96 + -76d + 4dk + 8j = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -76d + 4dk + -96 + 8j = 0 + -96 Reorder the terms: 96 + -96 + -76d + 4dk + 8j = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -76d + 4dk + 8j = 0 + -96 -76d + 4dk + 8j = 0 + -96 Combine like terms: 0 + -96 = -96 -76d + 4dk + 8j = -96 Add '-8j' to each side of the equation. -76d + 4dk + 8j + -8j = -96 + -8j Combine like terms: 8j + -8j = 0 -76d + 4dk + 0 = -96 + -8j -76d + 4dk = -96 + -8j Reorder the terms: 96 + -76d + 4dk + 8j = -96 + -8j + 96 + 8j Reorder the terms: 96 + -76d + 4dk + 8j = -96 + 96 + -8j + 8j Combine like terms: -96 + 96 = 0 96 + -76d + 4dk + 8j = 0 + -8j + 8j 96 + -76d + 4dk + 8j = -8j + 8j Combine like terms: -8j + 8j = 0 96 + -76d + 4dk + 8j = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -19d + dk + 2j) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + -19d + dk + 2j)' equal to zero and attempt to solve: Simplifying 24 + -19d + dk + 2j = 0 Solving 24 + -19d + dk + 2j = 0 Move all terms containing d to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -19d + dk + -24 + 2j = 0 + -24 Reorder the terms: 24 + -24 + -19d + dk + 2j = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -19d + dk + 2j = 0 + -24 -19d + dk + 2j = 0 + -24 Combine like terms: 0 + -24 = -24 -19d + dk + 2j = -24 Add '-2j' to each side of the equation. -19d + dk + 2j + -2j = -24 + -2j Combine like terms: 2j + -2j = 0 -19d + dk + 0 = -24 + -2j -19d + dk = -24 + -2j The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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