Question
(x+10)(2x-3)=54cm^2
What is x
What is x
Answers
GPT 3.5
To find the value of x, we can start by expanding the left side of the equation:
(x + 10)(2x - 3) = 54cm^2
2x^2 + 7x - 30 = 54cm^2
Next, we can move the constant term to the opposite side of the equation:
2x^2 + 7x - 30 - 54cm^2 = 0
2x^2 + 7x - 84cm^2 = 0
Now, we can factor the quadratic equation:
(2x - 6)(x + 14) = 0
Setting each factor equal to zero, we have two possible values for x:
2x - 6 = 0
2x = 6
x = 6/2
x = 3
x + 14 = 0
x = -14
Therefore, the possible values for x are x = 3 and x = -14.
(x + 10)(2x - 3) = 54cm^2
2x^2 + 7x - 30 = 54cm^2
Next, we can move the constant term to the opposite side of the equation:
2x^2 + 7x - 30 - 54cm^2 = 0
2x^2 + 7x - 84cm^2 = 0
Now, we can factor the quadratic equation:
(2x - 6)(x + 14) = 0
Setting each factor equal to zero, we have two possible values for x:
2x - 6 = 0
2x = 6
x = 6/2
x = 3
x + 14 = 0
x = -14
Therefore, the possible values for x are x = 3 and x = -14.