8x^2+24x+288=27(Bx+C)(x-3)

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Solution for 8x^2+24x+288=27(Bx+C)(x-3) equation: 


Simplifying
8x2 + 24x + 288 = 27(Bx + C)(x + -3)

Reorder the terms:
288 + 24x + 8x2 = 27(Bx + C)(x + -3)

Reorder the terms:
288 + 24x + 8x2 = 27(C + xB)(x + -3)

Reorder the terms:
288 + 24x + 8x2 = 27(C + xB)(-3 + x)

Multiply (C + xB) * (-3 + x)
288 + 24x + 8x2 = 27(C(-3 + x) + xB(-3 + x))
288 + 24x + 8x2 = 27((-3 * C + x * C) + xB(-3 + x))
288 + 24x + 8x2 = 27((-3C + xC) + xB(-3 + x))
288 + 24x + 8x2 = 27(-3C + xC + (-3 * xB + x * xB))
288 + 24x + 8x2 = 27(-3C + xC + (-3xB + x2B))

Reorder the terms:
288 + 24x + 8x2 = 27(-3C + -3xB + xC + x2B)
288 + 24x + 8x2 = 27(-3C + -3xB + xC + x2B)
288 + 24x + 8x2 = (-3C * 27 + -3xB * 27 + xC * 27 + x2B * 27)
288 + 24x + 8x2 = (-81C + -81xB + 27xC + 27x2B)

Solving
288 + 24x + 8x2 = -81C + -81xB + 27xC + 27x2B

Solving for variable 'x'.

Reorder the terms:
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = -81C + -81xB + 27xC + 27x2B + 81C + 81xB + -27xC + -27x2B

Reorder the terms:
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = -81C + 81C + -81xB + 81xB + 27xC + -27xC + 27x2B + -27x2B

Combine like terms: -81C + 81C = 0
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 0 + -81xB + 81xB + 27xC + -27xC + 27x2B + -27x2B
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = -81xB + 81xB + 27xC + -27xC + 27x2B + -27x2B

Combine like terms: -81xB + 81xB = 0
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 0 + 27xC + -27xC + 27x2B + -27x2B
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 27xC + -27xC + 27x2B + -27x2B

Combine like terms: 27xC + -27xC = 0
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 0 + 27x2B + -27x2B
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 27x2B + -27x2B

Combine like terms: 27x2B + -27x2B = 0
288 + 81C + 24x + 81xB + -27xC + 8x2 + -27x2B = 0

The solution to this equation could not be determined.

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