SOLUTION: solve 2(x - 3) (x - 2) +(x - 3) (x + 5) = (2x + 3) (x – 4)

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Question 959085: solve
2(x - 3) (x - 2) +(x - 3) (x + 5) = (2x + 3) (x – 4)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x-3%29+%28x+-2%29+%2B%28x-3%29+%28x+%2B+5%29+=+%282x+%2B+3%29+%28x+-4%29+
2%28x%5E2-2x-3x+%2B6%29+%2B%28x%5E2%2B5x-3x-15%29+=+%282x%5E2-8x+%2B+3x+-12%29+
%282x%5E2-4x-6x+%2B12%29+%2B%28x%5E2%2B5x-3x-15%29+=+%282x%5E2-8x+%2B+3x+-12%29+
2x%5E2-10x+%2B12+%2Bx%5E2%2B2x-15+=+2x%5E2-5x+-12+
3x%5E2-8x+-3+=+2x%5E2-5x+-12+
3x%5E2-8x+-3+-2x%5E2%2B5x+%2B12=0+
x%5E2-3x%2B9=0+


x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+

x+=+%283+%2B-+sqrt%28+9-36%29%29%2F2+
x+=+%283+%2B-+sqrt%28+-27%29%29%2F2+
x+=+%283+%2B-+sqrt%28+%28-1%293%5E2%2A3%29%29%2F2+
x+=+%283+%2B-+3i%2Asqrt%283%29%29%2F2+
solutions: two complex solutions
x+=+%283%2F2%29%281+%2B+i%2Asqrt%283%29%29+
or
x+=+%283%2F2%29%281+-+i%2Asqrt%283%29%29+

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+15%2C+x%5E2-3x%2B9%29+