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Simplifying 4b2 + -32b = 4(b + -3)(b + -5) Reorder the terms: -32b + 4b2 = 4(b + -3)(b + -5) Reorder the terms: -32b + 4b2 = 4(-3 + b)(b + -5) Reorder the terms: -32b + 4b2 = 4(-3 + b)(-5 + b) Multiply (-3 + b) * (-5 + b) -32b + 4b2 = 4(-3(-5 + b) + b(-5 + b)) -32b + 4b2 = 4((-5 * -3 + b * -3) + b(-5 + b)) -32b + 4b2 = 4((15 + -3b) + b(-5 + b)) -32b + 4b2 = 4(15 + -3b + (-5 * b + b * b)) -32b + 4b2 = 4(15 + -3b + (-5b + b2)) Combine like terms: -3b + -5b = -8b -32b + 4b2 = 4(15 + -8b + b2) -32b + 4b2 = (15 * 4 + -8b * 4 + b2 * 4) -32b + 4b2 = (60 + -32b + 4b2) Add '32b' to each side of the equation. -32b + 32b + 4b2 = 60 + -32b + 32b + 4b2 Combine like terms: -32b + 32b = 0 0 + 4b2 = 60 + -32b + 32b + 4b2 4b2 = 60 + -32b + 32b + 4b2 Combine like terms: -32b + 32b = 0 4b2 = 60 + 0 + 4b2 4b2 = 60 + 4b2 Add '-4b2' to each side of the equation. 4b2 + -4b2 = 60 + 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 0 = 60 + 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 0 = 60 + 0 0 = 60 Solving 0 = 60 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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