SOLUTION: gcf and quadratic equation 4xsquared-8x-60=0

Question 298374: gcf and quadratic equation
4xsquared-8x-60=0
Answer by dawnhannah(7) (Show Source): You can put this solution on YOUR website!
Well this question is a quadradic equation because there is an x squared term. To solve you want to factor out the greatest common factor, and that is a 4.
4x^2-8x-60=0 will become 4(x^2-2x-15)=0
Next you would take the x^2-2x-15=0 and factor that. Multiply the first and last coefficients which in this case is 1 and 15. Then find the factors of 15 that add to the middle term of 2. Break the middle term into two terms using those factors as the coefficients.
So broken down it looks like this.
4x^2-8x-60=0
4(x^2-8x-60)=0
4(x-5)(x+3)=0
Lastly you would set them equal to 0.
x-5=0 and x+3=0
And solve for x by adding 5 to both sides
x-5=0
+5 +5
x=5
And subtracting 3 to both sides
x+3=0
-3 -3
x=-3

x=5 and x=-3
RELATED QUESTIONS
what is the GCF of 4xSquared y to the third power and 6xySquared (answered by richwmiller)

4xsquared+3x=5 quadratic formula (answered by Alan3354)

4xsquared... (answered by checkley75)

4xsquared... (answered by user_dude2008)

4xsquared + 9x + 7 =... (answered by jim_thompson5910)

4xsquared+25ysquared-100=0 put in standard form and... (answered by fractalier)

quadratic equation for... (answered by Specialk562)

What is 4xsquared-9=0 (answered by rfer)

PATRICIA'S SAYS THAT ITS MORE APPROPRIATE TO USE THE METHOD OF FACTORING THAN EXTRACTING... (answered by josgarithmetic)