5-5( a ) Solve by factoring GCF/DOTS

What is the first step in solving

x(x - 3) = 0 ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each factor equal to zero

Solve for the values of x:

x(x - 3) = 0

• { 0, 3 }

• { 0, -3 }

• { 1, 3 }

• { 1, -3 }

What should you do first to solve this equation by factoring?

x² - 28 = -3

• Get factored form

• Find two numbers which add to make -28 and multiply to make -3

• Make it equal 0 by adding 3 on each side

• Type it all in a calculator.

 $Solve\ \ \ \ \ n^2+3n=0$  

•  $\left\{-3,0\right\}$  

•  $\left\{3,0\right\}$  

• No Real Solution

•  $\left\{-3,-1\right\}$  

 $Solve\ \ \ \ \ x^2-100=0$  

•  $\left\{25,4\right\}$  

•  $\left\{-50,2\right\}$  

•  $\left\{-10,10\right\}$  

•  $\left\{0,100\right\}$  

Solve.
n² - 2n = 0

• n = 2 and 0
• n = -2 and 0
• n = 2
• n = 0

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Solve: 3x²-48=0

• x= 4, 4

• x= -4, -4

• x= -4, 4

Solve: 81x²=25

• x= 5/9, -5/9

• x= -5/9, -5/9

• x= 5/9, 5/9

Solve by factoring: $2x^2=6x$  
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