Question

(2x-7)(5x+75)=0

Solve this using factoring, what are the two x’s?

Answer 1

Explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

#cancelicseboardexam2021

Answer 2

Note : a × b = 0 ==》 a = 0 Or b = 0

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( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15