What are the solutions to the equation 4x2+3x=24-x
Accepted Solution
A:
Answer:x=2 x=-3Step-by-step explanation:4x2+3x=24-xSubtract 24 from each side4x^2 +3x -24 = 24-24 -x4x^2 +3x -24 = -xAdd x to each side4x^2 +3x+x -24 = -x+x4x^2 +4x -24 = 0Factor out a 44(x^2 +x -6) = 0Divide by 4x^2 +x -6 =0FactorWhat 2 numbers multiply to -6 and add to 1-2*3 = -6-2+3 =1(x-2) (x+3) =0Using the zero product propertyx-2 =0 x+3 =0x-2+2=0+2 x+3-3=0-3x=2 x=-3