(x-1)(x^2+6x+9)=5(x+3)

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Solution for (x-1)(x^2+6x+9)=5(x+3) equation:


Simplifying
(x + -1)(x2 + 6x + 9) = 5(x + 3)

Reorder the terms:
(-1 + x)(x2 + 6x + 9) = 5(x + 3)

Reorder the terms:
(-1 + x)(9 + 6x + x2) = 5(x + 3)

Multiply (-1 + x) * (9 + 6x + x2)
(-1(9 + 6x + x2) + x(9 + 6x + x2)) = 5(x + 3)
((9 * -1 + 6x * -1 + x2 * -1) + x(9 + 6x + x2)) = 5(x + 3)
((-9 + -6x + -1x2) + x(9 + 6x + x2)) = 5(x + 3)
(-9 + -6x + -1x2 + (9 * x + 6x * x + x2 * x)) = 5(x + 3)
(-9 + -6x + -1x2 + (9x + 6x2 + x3)) = 5(x + 3)

Reorder the terms:
(-9 + -6x + 9x + -1x2 + 6x2 + x3) = 5(x + 3)

Combine like terms: -6x + 9x = 3x
(-9 + 3x + -1x2 + 6x2 + x3) = 5(x + 3)

Combine like terms: -1x2 + 6x2 = 5x2
(-9 + 3x + 5x2 + x3) = 5(x + 3)

Reorder the terms:
-9 + 3x + 5x2 + x3 = 5(3 + x)
-9 + 3x + 5x2 + x3 = (3 * 5 + x * 5)
-9 + 3x + 5x2 + x3 = (15 + 5x)

Solving
-9 + 3x + 5x2 + x3 = 15 + 5x

Solving for variable 'x'.

Reorder the terms:
-9 + -15 + 3x + -5x + 5x2 + x3 = 15 + 5x + -15 + -5x

Combine like terms: -9 + -15 = -24
-24 + 3x + -5x + 5x2 + x3 = 15 + 5x + -15 + -5x

Combine like terms: 3x + -5x = -2x
-24 + -2x + 5x2 + x3 = 15 + 5x + -15 + -5x

Reorder the terms:
-24 + -2x + 5x2 + x3 = 15 + -15 + 5x + -5x

Combine like terms: 15 + -15 = 0
-24 + -2x + 5x2 + x3 = 0 + 5x + -5x
-24 + -2x + 5x2 + x3 = 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + -2x + 5x2 + x3 = 0

The solution to this equation could not be determined.

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