Divide (b^2+5b-36)/(b/2)

Math
b2+5b-36b2
Multiply the numerator by the reciprocal of the denominator.
(b2+5b-36)2b
Multiply b2+5b-36 and 2b.
(b2+5b-36)⋅2b
Factor b2+5b-36 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -36 and whose sum is 5.
-4,9
Write the factored form using these integers.
(b-4)(b+9)⋅2b
(b-4)(b+9)⋅2b
Move 2 to the left of (b-4)(b+9).
2(b-4)(b+9)b
Apply the distributive property.
(2b+2⋅-4)(b+9)b
Multiply 2 by -4.
(2b-8)(b+9)b
Expand (2b-8)(b+9) using the FOIL Method.
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Apply the distributive property.
2b(b+9)-8(b+9)b
Apply the distributive property.
2b⋅b+2b⋅9-8(b+9)b
Apply the distributive property.
2b⋅b+2b⋅9-8b-8⋅9b
2b⋅b+2b⋅9-8b-8⋅9b
Simplify and combine like terms.
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Simplify each term.
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Multiply b by b by adding the exponents.
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Move b.
2(b⋅b)+2b⋅9-8b-8⋅9b
Multiply b by b.
2b2+2b⋅9-8b-8⋅9b
2b2+2b⋅9-8b-8⋅9b
Multiply 9 by 2.
2b2+18b-8b-8⋅9b
Multiply -8 by 9.
2b2+18b-8b-72b
2b2+18b-8b-72b
Subtract 8b from 18b.
2b2+10b-72b
2b2+10b-72b
Split the fraction 2b2+10b-72b into two fractions.
2b2+10bb+-72b
Split the fraction 2b2+10bb into two fractions.
2b2b+10bb+-72b
Cancel the common factor of b2 and b.
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Factor b out of 2b2.
b(2b)b+10bb+-72b
Cancel the common factors.
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Raise b to the power of 1.
b(2b)b1+10bb+-72b
Factor b out of b1.
b(2b)b⋅1+10bb+-72b
Cancel the common factor.
b(2b)b⋅1+10bb+-72b
Rewrite the expression.
2b1+10bb+-72b
Divide 2b by 1.
2b+10bb+-72b
2b+10bb+-72b
2b+10bb+-72b
Cancel the common factor of b.
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Cancel the common factor.
2b+10bb+-72b
Divide 10 by 1.
2b+10+-72b
2b+10+-72b
Move the negative in front of the fraction.
2b+10-72b
Divide (b^2+5b-36)/(b/2)

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