4x²+3x=3-x
Move everything to the left hand side.
4x²+4x-3=0
Expand it into brackets (bit of trial and error to work this out).
(2x+3)(2x-1)=0
So, for the equation to be 0, one of the brackets has to equal 0. And for that to happen, x has to be -1.5 or 0.5.
x = -1.5 or 0.5
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Verified answer
4x²+3x=3-x
Move everything to the left hand side.
4x²+4x-3=0
Expand it into brackets (bit of trial and error to work this out).
(2x+3)(2x-1)=0
So, for the equation to be 0, one of the brackets has to equal 0. And for that to happen, x has to be -1.5 or 0.5.
x = -1.5 or 0.5