Question

Solve for x. Write both solutions, separated by a comma. 8x^2-2x-15=0

Answer 1

Answer:Factor by grouping.

Hello!

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8x^2-2x-15=0

( 4x + 5 ) (2x - 3) = 0

Explanation:

If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0.

Set 4x + 5 equal to 0  and solve for x.

4x + 5 = 0

Subtract 5 from both sides of the equation.

4x = -5

Divide each term by 4 and simplify.

4x/4 = -5/4

x = -5/4

Set 2x - 3  equal to 0 and solve for x.

x = 3/2

The final solution is all the values that make ( 4x + 5) ( 2x -3) = 0 true.

x = - 5/4 , 3/2.

Hope this helped you and sorry for take so long!

Answer 2

Answer:

x₁ = -5/4 (-1.25)

x₂ = 3/2 (1.5)

Explanation:

8x² - 2x - 15 = 0

8x² + 10x - 12x - 15 = 0

2xx(4x + 5) - 12x - 15 = 0

2xx (4x + 5) - 3(4x + 5) = 0

(4x + 5) × (2x - 3) = 0

4x + 5 = 0 → x = -5/4 (-1.25)

2x - 3 = 0 → x = 3/2 (1.5)

Hope this helps! :)