Question

QUICK!! 18x^2+21x-60=0 pls give me the steps as well

Answer 1

39x+58

Explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

Answer 2

`x1 = - (5)/(2)`

`x2 = (4)/(3)`

Explanation:

`18 {x}^(2) + 21x - 60 = 0`

Divide both sides of the equation by 3

`6 {x}^(2) + 7x - 20 = 0`

Write 7x as a difference

`6 {x}^(2) + 15x - 8x - 20 = 0`

Factor out 3x from the expression

`3x(2x + 5) - 8x - 20 = 0`

Factor out -4 from the expression

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

Factor out 2x + 5 from the expression

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

When the product of factors equals 0 , at least one factor is 0

`2x + 5 = 0`

`3x - 4 = 0`

Solve the equation for X

`2x + 5 = 0`

Move constant to R.H.S and change its sign

`2x = 0 - 5`

Calculate the difference

`2x = - 5`

Divide both sides of the equation by 2

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

Calculate

`x 1= - (5)/(2)`

Again,

`3x - 4 = 0`

Move constant to RHS and change its sign

`3x = 0 + 4`

Calculate the sum

`3x = 4`

divide both sides of the equation by 3

`(3x)/(3) = (4)/(3)`

Calculate

`x 2= (4)/(3)`

Hope this helps..

Best regards!!