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Simplifying (4w + 8a)(7b + -2d) = 0 Reorder the terms: (8a + 4w)(7b + -2d) = 0 Multiply (8a + 4w) * (7b + -2d) (8a * (7b + -2d) + 4w * (7b + -2d)) = 0 ((7b * 8a + -2d * 8a) + 4w * (7b + -2d)) = 0 ((56ab + -16ad) + 4w * (7b + -2d)) = 0 (56ab + -16ad + (7b * 4w + -2d * 4w)) = 0 (56ab + -16ad + (28bw + -8dw)) = 0 (56ab + -16ad + 28bw + -8dw) = 0 Solving 56ab + -16ad + 28bw + -8dw = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28bw' to each side of the equation. 56ab + -16ad + 28bw + -28bw + -8dw = 0 + -28bw Combine like terms: 28bw + -28bw = 0 56ab + -16ad + 0 + -8dw = 0 + -28bw 56ab + -16ad + -8dw = 0 + -28bw Remove the zero: 56ab + -16ad + -8dw = -28bw Add '8dw' to each side of the equation. 56ab + -16ad + -8dw + 8dw = -28bw + 8dw Combine like terms: -8dw + 8dw = 0 56ab + -16ad + 0 = -28bw + 8dw 56ab + -16ad = -28bw + 8dw Reorder the terms: 56ab + -16ad + 28bw + -8dw = -28bw + 28bw + 8dw + -8dw Combine like terms: -28bw + 28bw = 0 56ab + -16ad + 28bw + -8dw = 0 + 8dw + -8dw 56ab + -16ad + 28bw + -8dw = 8dw + -8dw Combine like terms: 8dw + -8dw = 0 56ab + -16ad + 28bw + -8dw = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(14ab + -4ad + 7bw + -2dw) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(14ab + -4ad + 7bw + -2dw)' equal to zero and attempt to solve: Simplifying 14ab + -4ad + 7bw + -2dw = 0 Solving 14ab + -4ad + 7bw + -2dw = 0 Move all terms containing a to the left, all other terms to the right. Add '-7bw' to each side of the equation. 14ab + -4ad + 7bw + -7bw + -2dw = 0 + -7bw Combine like terms: 7bw + -7bw = 0 14ab + -4ad + 0 + -2dw = 0 + -7bw 14ab + -4ad + -2dw = 0 + -7bw Remove the zero: 14ab + -4ad + -2dw = -7bw Add '2dw' to each side of the equation. 14ab + -4ad + -2dw + 2dw = -7bw + 2dw Combine like terms: -2dw + 2dw = 0 14ab + -4ad + 0 = -7bw + 2dw 14ab + -4ad = -7bw + 2dw 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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