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Simplifying (-4)(2) = (3z + -11)(2k) Multiply -4 * 2 -8 = (3z + -11)(2k) Reorder the terms: -8 = (-11 + 3z)(2k) Remove parenthesis around (2k) -8 = (-11 + 3z) * 2k Reorder the terms for easier multiplication: -8 = 2k(-11 + 3z) -8 = (-11 * 2k + 3z * 2k) -8 = (-22k + 6kz) Solving -8 = -22k + 6kz Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. -8 + 22k = -22k + 22k + 6kz Combine like terms: -22k + 22k = 0 -8 + 22k = 0 + 6kz -8 + 22k = 6kz Add '-6kz' to each side of the equation. -8 + 22k + -6kz = 6kz + -6kz Combine like terms: 6kz + -6kz = 0 -8 + 22k + -6kz = 0 Add '8' to each side of the equation. -8 + 22k + 8 + -6kz = 0 + 8 Reorder the terms: -8 + 8 + 22k + -6kz = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 22k + -6kz = 0 + 8 22k + -6kz = 0 + 8 Combine like terms: 0 + 8 = 8 22k + -6kz = 8 Reorder the terms: -8 + 22k + -6kz = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 22k + -6kz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 11k + -3kz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 11k + -3kz)' equal to zero and attempt to solve: Simplifying -4 + 11k + -3kz = 0 Solving -4 + 11k + -3kz = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 11k + 4 + -3kz = 0 + 4 Reorder the terms: -4 + 4 + 11k + -3kz = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11k + -3kz = 0 + 4 11k + -3kz = 0 + 4 Combine like terms: 0 + 4 = 4 11k + -3kz = 4 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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