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Simplifying (a + bw)(c + dw) = 0 Multiply (a + bw) * (c + dw) (a(c + dw) + bw(c + dw)) = 0 ((c * a + dw * a) + bw(c + dw)) = 0 ((ac + adw) + bw(c + dw)) = 0 (ac + adw + (c * bw + dw * bw)) = 0 (ac + adw + (bcw + bdw2)) = 0 (ac + adw + bcw + bdw2) = 0 Solving ac + adw + bcw + bdw2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bcw' to each side of the equation. ac + adw + bcw + -1bcw + bdw2 = 0 + -1bcw Combine like terms: bcw + -1bcw = 0 ac + adw + 0 + bdw2 = 0 + -1bcw ac + adw + bdw2 = 0 + -1bcw Remove the zero: ac + adw + bdw2 = -1bcw Add '-1bdw2' to each side of the equation. ac + adw + bdw2 + -1bdw2 = -1bcw + -1bdw2 Combine like terms: bdw2 + -1bdw2 = 0 ac + adw + 0 = -1bcw + -1bdw2 ac + adw = -1bcw + -1bdw2 Reorder the terms: ac + adw + bcw + bdw2 = -1bcw + bcw + -1bdw2 + bdw2 Combine like terms: -1bcw + bcw = 0 ac + adw + bcw + bdw2 = 0 + -1bdw2 + bdw2 ac + adw + bcw + bdw2 = -1bdw2 + bdw2 Combine like terms: -1bdw2 + bdw2 = 0 ac + adw + bcw + bdw2 = 0 The solution to this equation could not be determined.
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