(x-3)(x+3)x-x+3=-5(x-3)(x+3)

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Solution for (x-3)(x+3)x-x+3=-5(x-3)(x+3) equation: 


Simplifying
(x + -3)(x + 3) * x + -1x + 3 = -5(x + -3)(x + 3)

Reorder the terms:
(-3 + x)(x + 3) * x + -1x + 3 = -5(x + -3)(x + 3)

Reorder the terms:
(-3 + x)(3 + x) * x + -1x + 3 = -5(x + -3)(x + 3)

Reorder the terms for easier multiplication:
x(-3 + x)(3 + x) + -1x + 3 = -5(x + -3)(x + 3)

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

Combine like terms: -3x + 3x = 0
x(-9 + 0 + x2) + -1x + 3 = -5(x + -3)(x + 3)
x(-9 + x2) + -1x + 3 = -5(x + -3)(x + 3)
(-9 * x + x2 * x) + -1x + 3 = -5(x + -3)(x + 3)
(-9x + x3) + -1x + 3 = -5(x + -3)(x + 3)

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

Combine like terms: -9x + -1x = -10x
3 + -10x + x3 = -5(x + -3)(x + 3)

Reorder the terms:
3 + -10x + x3 = -5(-3 + x)(x + 3)

Reorder the terms:
3 + -10x + x3 = -5(-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
3 + -10x + x3 = -5(-3(3 + x) + x(3 + x))
3 + -10x + x3 = -5((3 * -3 + x * -3) + x(3 + x))
3 + -10x + x3 = -5((-9 + -3x) + x(3 + x))
3 + -10x + x3 = -5(-9 + -3x + (3 * x + x * x))
3 + -10x + x3 = -5(-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
3 + -10x + x3 = -5(-9 + 0 + x2)
3 + -10x + x3 = -5(-9 + x2)
3 + -10x + x3 = (-9 * -5 + x2 * -5)
3 + -10x + x3 = (45 + -5x2)

Solving
3 + -10x + x3 = 45 + -5x2

Solving for variable 'x'.

Reorder the terms:
3 + -45 + -10x + 5x2 + x3 = 45 + -5x2 + -45 + 5x2

Combine like terms: 3 + -45 = -42
-42 + -10x + 5x2 + x3 = 45 + -5x2 + -45 + 5x2

Reorder the terms:
-42 + -10x + 5x2 + x3 = 45 + -45 + -5x2 + 5x2

Combine like terms: 45 + -45 = 0
-42 + -10x + 5x2 + x3 = 0 + -5x2 + 5x2
-42 + -10x + 5x2 + x3 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-42 + -10x + 5x2 + x3 = 0

The solution to this equation could not be determined.

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