x^3+5x^2+3c-9=(x+3)(ax^2+bx+c)

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Solution for x^3+5x^2+3c-9=(x+3)(ax^2+bx+c) equation: 


Simplifying
x3 + 5x2 + 3c + -9 = (x + 3)(ax2 + bx + c)

Reorder the terms:
-9 + 3c + 5x2 + x3 = (x + 3)(ax2 + bx + c)

Reorder the terms:
-9 + 3c + 5x2 + x3 = (3 + x)(ax2 + bx + c)

Multiply (3 + x) * (ax2 + bx + c)
-9 + 3c + 5x2 + x3 = (3(ax2 + bx + c) + x(ax2 + bx + c))
-9 + 3c + 5x2 + x3 = ((ax2 * 3 + bx * 3 + c * 3) + x(ax2 + bx + c))
-9 + 3c + 5x2 + x3 = ((3ax2 + 3bx + 3c) + x(ax2 + bx + c))
-9 + 3c + 5x2 + x3 = (3ax2 + 3bx + 3c + (ax2 * x + bx * x + c * x))
-9 + 3c + 5x2 + x3 = (3ax2 + 3bx + 3c + (ax3 + bx2 + cx))

Reorder the terms:
-9 + 3c + 5x2 + x3 = (3ax2 + ax3 + 3bx + bx2 + 3c + cx)
-9 + 3c + 5x2 + x3 = (3ax2 + ax3 + 3bx + bx2 + 3c + cx)

Add '-3c' to each side of the equation.
-9 + 3c + 5x2 + -3c + x3 = 3ax2 + ax3 + 3bx + bx2 + 3c + -3c + cx

Reorder the terms:
-9 + 3c + -3c + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + 3c + -3c + cx

Combine like terms: 3c + -3c = 0
-9 + 0 + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + 3c + -3c + cx
-9 + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + 3c + -3c + cx

Combine like terms: 3c + -3c = 0
-9 + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + 0 + cx
-9 + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + cx

Solving
-9 + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + cx

Solving for variable 'x'.

Reorder the terms:
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 3ax2 + ax3 + 3bx + bx2 + cx + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx

Reorder the terms:
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 3ax2 + -3ax2 + ax3 + -1ax3 + 3bx + -3bx + bx2 + -1bx2 + cx + -1cx

Combine like terms: 3ax2 + -3ax2 = 0
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 0 + ax3 + -1ax3 + 3bx + -3bx + bx2 + -1bx2 + cx + -1cx
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = ax3 + -1ax3 + 3bx + -3bx + bx2 + -1bx2 + cx + -1cx

Combine like terms: ax3 + -1ax3 = 0
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 0 + 3bx + -3bx + bx2 + -1bx2 + cx + -1cx
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 3bx + -3bx + bx2 + -1bx2 + cx + -1cx

Combine like terms: 3bx + -3bx = 0
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 0 + bx2 + -1bx2 + cx + -1cx
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = bx2 + -1bx2 + cx + -1cx

Combine like terms: bx2 + -1bx2 = 0
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 0 + cx + -1cx
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = cx + -1cx

Combine like terms: cx + -1cx = 0
-9 + -3ax2 + -1ax3 + -3bx + -1bx2 + -1cx + 5x2 + x3 = 0

The solution to this equation could not be determined.

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