Algebra

(4p - 7)(p + 5) = 0

Holt McDougal Larson Algebra 1 Common Core Edition page 541 number 16

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(4p - 7)(p + 5) = 0

(4p)(p) +4p(5) -7(p) -7(5)=0

4p^2 +20p -7p -35=0

4p^2 +14p -35=0

Factored

(-1p-5)(-4p+7)=0

Solve for p

Simplify

-5 + -1p = 0

Solve

-5 + -1p = 0

-5+-1p+5=0+5

-1p=5

-1p/-1=5/-1

p=-1

Simplify

7 + -4p = 0

Solve

7 + -4p = 0

7+-4p-7=0-7

-4p=-7

-4p/-4=-7/-4

p=7/4