Question

What are the full steps to 7x(x-2)+5(x-3)=-5

Answer 1

Brianliest!

Explanation:

simplify

7x^2-14x+5x-15 = -5

7x^2 - 9x - 10

x= 1

x = -0.7142857143

Answer 2

`x = -(5)/(7), 2`

Explanation:

To solve this equation, we need to simplify it down first. To do this, we must apply the distributive property to each term.

`7x(x-2) + 5(x-3) = -5\\\\(7x^2 - 14x) + (5x - 15) = -5`

Now we can combine like terms.

`7x^2 - 9x - 15 = -5`

Add 5 to both sides:

`7x^2 -9x - 10 = 0`

We can see that this is a quadratic equation, in the form
`ax^2 + bx + c`. To solve for x, we must use the Quadratic Formula, which is
`(-b\pm√(b^2-4ac))/(2a)`, where a is 7, b is -9, and c is -10.

Substitute inside the equation:

`(-(-9)\pm√(-9^2-4\cdot7\cdot-10))/(2\cdot7)\\\\(9\pm√(81+280))/(14)\\\\(9\pm19)/(14)\\\\(9+ 19)/14 = 2\\\\(9 - 19)/14 = -(5)/(7)`

Hope this helped!