(x+3)(x-2)=Ax^2+Bx+c

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Solution for (x+3)(x-2)=Ax^2+Bx+c equation:


Simplifying
(x + 3)(x + -2) = Ax2 + Bx + c

Reorder the terms:
(3 + x)(x + -2) = Ax2 + Bx + c

Reorder the terms:
(3 + x)(-2 + x) = Ax2 + Bx + c

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x)) = Ax2 + Bx + c
((-2 * 3 + x * 3) + x(-2 + x)) = Ax2 + Bx + c
((-6 + 3x) + x(-2 + x)) = Ax2 + Bx + c
(-6 + 3x + (-2 * x + x * x)) = Ax2 + Bx + c
(-6 + 3x + (-2x + x2)) = Ax2 + Bx + c

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2) = Ax2 + Bx + c

Reorder the terms:
-6 + 1x + x2 = c + xB + x2A

Solving
-6 + 1x + x2 = c + xB + x2A

Solving for variable 'x'.

Reorder the terms:
-6 + -1c + 1x + -1xB + x2 + -1x2A = c + xB + x2A + -1c + -1xB + -1x2A

Reorder the terms:
-6 + -1c + 1x + -1xB + x2 + -1x2A = c + -1c + xB + -1xB + x2A + -1x2A

Combine like terms: c + -1c = 0
-6 + -1c + 1x + -1xB + x2 + -1x2A = 0 + xB + -1xB + x2A + -1x2A
-6 + -1c + 1x + -1xB + x2 + -1x2A = xB + -1xB + x2A + -1x2A

Combine like terms: xB + -1xB = 0
-6 + -1c + 1x + -1xB + x2 + -1x2A = 0 + x2A + -1x2A
-6 + -1c + 1x + -1xB + x2 + -1x2A = x2A + -1x2A

Combine like terms: x2A + -1x2A = 0
-6 + -1c + 1x + -1xB + x2 + -1x2A = 0

The solution to this equation could not be determined.

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