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Hoochie [10]
3 years ago
9

Can someone please give a step to step on how to factor x^2-75= -10x

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

x^2 - 75 = -10x

<em><u>Add 10x to both sides.</u></em>

x^2 + 10x - 75

<em><u>Check if splitting the middle term is possible.</u></em>

<em><u>Display factors of -75.</u></em>

1 * -75

-1 * 75

-5 * 15 <  (this meets the criteria)

<em><u>Split the middle term.</u></em>

x^2 - 5x + 15x - 75

<em><u>Factor each binomial.</u></em>

x(x - 5) + 15(x - 5)

<em><u>Combine factors.</u></em>

(x + 15)(x - 5) is the completely factored form of the provided quadratic.


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