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Simplifying (2a + -1b)(b + -4) = 0 Reorder the terms: (2a + -1b)(-4 + b) = 0 Multiply (2a + -1b) * (-4 + b) (2a * (-4 + b) + -1b * (-4 + b)) = 0 ((-4 * 2a + b * 2a) + -1b * (-4 + b)) = 0 ((-8a + 2ab) + -1b * (-4 + b)) = 0 (-8a + 2ab + (-4 * -1b + b * -1b)) = 0 (-8a + 2ab + (4b + -1b2)) = 0 (-8a + 2ab + 4b + -1b2) = 0 Solving -8a + 2ab + 4b + -1b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -8a + 2ab + 4b + -4b + -1b2 = 0 + -4b Combine like terms: 4b + -4b = 0 -8a + 2ab + 0 + -1b2 = 0 + -4b -8a + 2ab + -1b2 = 0 + -4b Remove the zero: -8a + 2ab + -1b2 = -4b Add 'b2' to each side of the equation. -8a + 2ab + -1b2 + b2 = -4b + b2 Combine like terms: -1b2 + b2 = 0 -8a + 2ab + 0 = -4b + b2 -8a + 2ab = -4b + b2 Reorder the terms: -8a + 2ab + 4b + -1b2 = -4b + 4b + b2 + -1b2 Combine like terms: -4b + 4b = 0 -8a + 2ab + 4b + -1b2 = 0 + b2 + -1b2 -8a + 2ab + 4b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -8a + 2ab + 4b + -1b2 = 0 The solution to this equation could not be determined.
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