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