+579 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
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
