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Simplifying 2(3w + -6z + 7wz) + -8(2w + z + 3wz) = 0 Reorder the terms: 2(3w + 7wz + -6z) + -8(2w + z + 3wz) = 0 (3w * 2 + 7wz * 2 + -6z * 2) + -8(2w + z + 3wz) = 0 (6w + 14wz + -12z) + -8(2w + z + 3wz) = 0 Reorder the terms: 6w + 14wz + -12z + -8(2w + 3wz + z) = 0 6w + 14wz + -12z + (2w * -8 + 3wz * -8 + z * -8) = 0 6w + 14wz + -12z + (-16w + -24wz + -8z) = 0 Reorder the terms: 6w + -16w + 14wz + -24wz + -12z + -8z = 0 Combine like terms: 6w + -16w = -10w -10w + 14wz + -24wz + -12z + -8z = 0 Combine like terms: 14wz + -24wz = -10wz -10w + -10wz + -12z + -8z = 0 Combine like terms: -12z + -8z = -20z -10w + -10wz + -20z = 0 Solving -10w + -10wz + -20z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20z' to each side of the equation. -10w + -10wz + -20z + 20z = 0 + 20z Combine like terms: -20z + 20z = 0 -10w + -10wz + 0 = 0 + 20z -10w + -10wz = 0 + 20z Remove the zero: -10w + -10wz = 20z Combine like terms: 20z + -20z = 0 -10w + -10wz + -20z = 0 Factor out the Greatest Common Factor (GCF), '-10'. -10(w + wz + 2z) = 0 Ignore the factor -10.Subproblem 1
Set the factor '(w + wz + 2z)' equal to zero and attempt to solve: Simplifying w + wz + 2z = 0 Solving w + wz + 2z = 0 Move all terms containing w to the left, all other terms to the right. Add '-2z' to each side of the equation. w + wz + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 w + wz + 0 = 0 + -2z w + wz = 0 + -2z Remove the zero: w + wz = -2z 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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