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avatar+236 

the calculator goes WAY too far into simplifying, so i think a real person is more helpful XD

 

2x^2-ax=6a^2

 

solve for x in terms of a

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2+0 Answers

 #1
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+1

Solve for x:
2 x^2 - a x = 6 a^2

 

Divide both sides by 2:
x^2 - (a x)/2 = 3 a^2

 

Add a^2/16 to both sides:
a^2/16 - (a x)/2 + x^2 = (49 a^2)/16

 

Write the both sides as a square:
(x - a/4)^2 = (49 a^2)/16

 

Take the square root of both sides:
x - a/4 = (7 a)/4 or x - a/4 = -(7 a)/4

 

Add a/4 to both sides:
x = 2 a or x - a/4 = -(7 a)/4

 

Add a/4 to both sides:
x = 2a       or          x = -(3 a)/2

Guest Nov 1, 2017
 #2
avatar+236 
+1

man, you guests waste no time! thank you very much!


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