Question

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

Answer 1

Answer:

39x+58

Step-by-step explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

Answer 2

Answer:

$x1 = - \frac{5}{2}$

$x2 = \frac{4}{3}$

Step-by-step 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

$\frac{2x}{2} = \frac{ - 5}{2}$

Calculate

$x 1= - \frac{5}{2}$

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

$\frac{3x}{3} = \frac{4}{3}$

Calculate

$x 2= \frac{4}{3}$

Hope this helps..

Best regards!!