Solving Quadratics by Factoring

Solve 3v² - 4v - 7 = 0

• v = -1, v = 7/3

• no solution

• v = 9, v = -1/3

• v = 10, v = 1/3

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Solve 5x² + 7x - 6 = 0

• x = 2, x = 3

• x = -2, x = 3/5

• x = -3/5, x = 2

• no solution

What are the solutions to 3x² + 21x = -36

• x = 4, x = 3

• x = 6, x = 2

• x = -4, x = -3

• x = 1, x = 12

Solve 10x² - 3x - 1 = 0

• no solution

• x = 0.5, x = -0.2

• x = -0.5, x = 0.2

• x = 3, x = 2

Solve 2x² + 13x - 7 = 0

• no solution

• x = 7, x = 1/2

• x = 2, x = -7

• x = -7, x = 0.5

What are the solutions to 2x² + 30 = -16x

• x = 3, x = 5

• x = -3, x = -5

• x = 1/3, x = 1/5

• no solution

Solve
6x² + 17x + 12 = 0

• x = -4/3, x = -3/2
• x = 9, x = 8
• x = 4, x = 3
• x = -4, x = -3

Solve
x² + 9x + 20 = 0

• x = -2, x = -10
• x = -3, x = -4
• x = -4, x = -5
• x = -4, x = -6

Solve
5x² - 28x + 32 = 0

• x = 10/3, x = -6
• x = 8, x = 4/5
• x = 8/5, x = 4
• x = 8/5, x = -7