Factor the trinomial. Factor out the GCF first. 5x^2y - 30xy^2 - 35y^3
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14. (2x - 1)(x + 7) = 0
Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15.
To solve this equation, you first need to set it equal to 0:
Next, it can be factored:
Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16.
First, you can simplify by dividing each side by 4:
Now, set the equation equal to 0:
Next, factor:
Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5