SOLVING QUADRATIC EQUATIONS BY GREATEST COMMON FACTOR

Solve each equation by factoring.

Problem 1 :

3v² + 18v = 0

Solution :

3v² + 18v = 0

3v(v + 6) = 0

3v = 0 or v + 6 = 0

v = 0 or v = -6

So, the solution is 0 and -6.

Problem 2 :

7r² - 14r = 0

Solution :

7r² - 14r = 0

7r(r - 2) = 0

7r = 0 or r - 2 = 0

r = 0 or r = 2

So, the solution is 0 and 2.

Problem 3 :

2r² - 10r = 0

Solution :

2r² - 10r = 0

2r(r - 5) = 0

2r = 0 or r - 5 = 0

r = 0 or r = 5

So, the solution is 0 and 5.

Problem 4 :

7n² + 49n = 0

Solution :

7n² + 49n = 0

7n(n + 7) = 0

7n = 0 or n + 7 = 0

n = 0 or n = -7

So, the solution is 0 and -7.

Problem 5 :

3a² = -3a

Solution :

3a² = -3a

3a² + 3a + 0 = 0

a = 3, b = 3, c = 0

So, the solution is 0 and -1.

Problem 6 :

4v² = 8v

Solution :

4v² = 8v

4v² - 8v + 0 = 0

a = 4, b = -8, c = 0

So, the solution is 2 and 0.

Problem 7 :

5n² = -20n

Solution :

5n² = -20n

5n² + 20n + 0 = 0

a = 5, b = 20, c = 0

So, the solution is 0 and -4.

Problem 8 :

4x² = 24x

Solution :

4x² = 24x

4x² - 24x + 0 = 0

a = 4, b = -24, c = 0

So, the solution is 6 and 0.