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

OfficialBubbleTanks
Nov 1, 2017

#1**+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