Factor -5m^2-6m+27

Math
-5m2-6m+27
Factor -1 out of -5m2-6m+27.
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Factor -1 out of -5m2.
-(5m2)-6m+27
Factor -1 out of -6m.
-(5m2)-(6m)+27
Rewrite 27 as -1(-27).
-(5m2)-(6m)-1(-27)
Factor -1 out of -(5m2)-(6m).
-(5m2+6m)-1(-27)
Factor -1 out of -(5m2+6m)-1(-27).
-(5m2+6m-27)
-(5m2+6m-27)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-27=-135 and whose sum is b=6.
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Factor 6 out of 6m.
-(5m2+6(m)-27)
Rewrite 6 as -9 plus 15
-(5m2+(-9+15)m-27)
Apply the distributive property.
-(5m2-9m+15m-27)
-(5m2-9m+15m-27)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
-((5m2-9m)+15m-27)
Factor out the greatest common factor (GCF) from each group.
-(m(5m-9)+3(5m-9))
-(m(5m-9)+3(5m-9))
Factor the polynomial by factoring out the greatest common factor, 5m-9.
-((5m-9)(m+3))
-((5m-9)(m+3))
Remove unnecessary parentheses.
-(5m-9)(m+3)
-(5m-9)(m+3)
Factor -5m^2-6m+27

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