(x-1)(x^2+14)=9x(1-x)

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Solution for (x-1)(x^2+14)=9x(1-x) equation:


Simplifying
(x + -1)(x2 + 14) = 9x(1 + -1x)

Reorder the terms:
(-1 + x)(x2 + 14) = 9x(1 + -1x)

Reorder the terms:
(-1 + x)(14 + x2) = 9x(1 + -1x)

Multiply (-1 + x) * (14 + x2)
(-1(14 + x2) + x(14 + x2)) = 9x(1 + -1x)
((14 * -1 + x2 * -1) + x(14 + x2)) = 9x(1 + -1x)
((-14 + -1x2) + x(14 + x2)) = 9x(1 + -1x)
(-14 + -1x2 + (14 * x + x2 * x)) = 9x(1 + -1x)
(-14 + -1x2 + (14x + x3)) = 9x(1 + -1x)

Reorder the terms:
(-14 + 14x + -1x2 + x3) = 9x(1 + -1x)
(-14 + 14x + -1x2 + x3) = 9x(1 + -1x)
-14 + 14x + -1x2 + x3 = (1 * 9x + -1x * 9x)
-14 + 14x + -1x2 + x3 = (9x + -9x2)

Solving
-14 + 14x + -1x2 + x3 = 9x + -9x2

Solving for variable 'x'.

Reorder the terms:
-14 + 14x + -9x + -1x2 + 9x2 + x3 = 9x + -9x2 + -9x + 9x2

Combine like terms: 14x + -9x = 5x
-14 + 5x + -1x2 + 9x2 + x3 = 9x + -9x2 + -9x + 9x2

Combine like terms: -1x2 + 9x2 = 8x2
-14 + 5x + 8x2 + x3 = 9x + -9x2 + -9x + 9x2

Reorder the terms:
-14 + 5x + 8x2 + x3 = 9x + -9x + -9x2 + 9x2

Combine like terms: 9x + -9x = 0
-14 + 5x + 8x2 + x3 = 0 + -9x2 + 9x2
-14 + 5x + 8x2 + x3 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-14 + 5x + 8x2 + x3 = 0

The solution to this equation could not be determined.

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