# What are the solutions of the quadratic equation? 2x^2 – 16x + 32 = 0 show all work

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## Question:

What are the solutions of the quadratic equation? 2x^2 – 16x + 32 = 0 show all work

x= 4 x=-4

Step-by-step explanation:

In order to solve this we first have to factorize the equation, to make it solvable, as you can see all of the terms are multiples of 2 so we first factorize by dividin all of them by 2:

2x^2-16x+32=0

2(x^2-8x+32)=0

No we just factorize the perfect square trinomial that is left inside the parenthesis:

2(x-4)(x+4)=0

So the two solutions for x would be -4 and 4.

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