Question

(5x+7)(8x+7) = 0
Find the two possible values.​

Answer 1

Hi!

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`\rightsquigarrow\circ\boldsymbol{Answer.}\circ\leftharpoonup`

`\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup`

Set each factor equal to 0.

`\twoheadrightarrow\sf 5x+7=0`

`\twoheadrightarrow\sf 8x+7=0`

`\bullet` Solve each equation

`\twoheadrightarrow\sf 5x+7=0`

`\bullet` Subtract 7 from both sides

`\twoheadrightarrow\sf 5x=-7`

`\bullet` Divide both sides by 5

`\underline{\twoheadrightarrow\sf x=-\cfrac{7}{5}}`

`\bullet` Now let's solve the second equation

`\twoheadrightarrow\sf 8x+7=0`

`\bullet` Subtract 7 from both sides

`\twoheadrightarrow\sf 8x=-7`

`\bullet` Divide both sides by 8

`\underline{\twoheadrightarrow\sf x=-\cfrac{7}{8}}`

`\bullet` Great job, we found the two possible values

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Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}`

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Answer 2

`(5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = ( - 7)/(5) \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = ( - 7)/(8) .`

the values of x are -7/5 and -7/8 .