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

2 Answers

3 votes

Answer:

39x+58

Explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

User Kucherenkovova
by
8.0k points
3 votes

Answer:


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!!

User Taewan
by
8.1k points

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