=2(x-3)(x+1)(x+3)

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Solution for =2(x-3)(x+1)(x+3) equation:


Simplifying
0 = 2(x + -3)(x + 1)(x + 3)

Reorder the terms:
0 = 2(-3 + x)(x + 1)(x + 3)

Reorder the terms:
0 = 2(-3 + x)(1 + x)(x + 3)

Reorder the terms:
0 = 2(-3 + x)(1 + x)(3 + x)

Multiply (-3 + x) * (1 + x)
0 = 2(-3(1 + x) + x(1 + x))(3 + x)
0 = 2((1 * -3 + x * -3) + x(1 + x))(3 + x)
0 = 2((-3 + -3x) + x(1 + x))(3 + x)
0 = 2(-3 + -3x + (1 * x + x * x))(3 + x)
0 = 2(-3 + -3x + (1x + x2))(3 + x)

Combine like terms: -3x + 1x = -2x
0 = 2(-3 + -2x + x2)(3 + x)

Multiply (-3 + -2x + x2) * (3 + x)
0 = 2(-3(3 + x) + -2x * (3 + x) + x2(3 + x))
0 = 2((3 * -3 + x * -3) + -2x * (3 + x) + x2(3 + x))
0 = 2((-9 + -3x) + -2x * (3 + x) + x2(3 + x))
0 = 2(-9 + -3x + (3 * -2x + x * -2x) + x2(3 + x))
0 = 2(-9 + -3x + (-6x + -2x2) + x2(3 + x))
0 = 2(-9 + -3x + -6x + -2x2 + (3 * x2 + x * x2))
0 = 2(-9 + -3x + -6x + -2x2 + (3x2 + x3))

Combine like terms: -3x + -6x = -9x
0 = 2(-9 + -9x + -2x2 + 3x2 + x3)

Combine like terms: -2x2 + 3x2 = 1x2
0 = 2(-9 + -9x + 1x2 + x3)
0 = (-9 * 2 + -9x * 2 + 1x2 * 2 + x3 * 2)
0 = (-18 + -18x + 2x2 + 2x3)

Solving
0 = -18 + -18x + 2x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + 18x + -2x2 + -2x3 = -18 + -18x + 2x2 + 2x3 + 18 + 18x + -2x2 + -2x3

Reorder the terms:
18 + 18x + -2x2 + -2x3 = -18 + 18 + -18x + 18x + 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: -18 + 18 = 0
18 + 18x + -2x2 + -2x3 = 0 + -18x + 18x + 2x2 + -2x2 + 2x3 + -2x3
18 + 18x + -2x2 + -2x3 = -18x + 18x + 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: -18x + 18x = 0
18 + 18x + -2x2 + -2x3 = 0 + 2x2 + -2x2 + 2x3 + -2x3
18 + 18x + -2x2 + -2x3 = 2x2 + -2x2 + 2x3 + -2x3

Combine like terms: 2x2 + -2x2 = 0
18 + 18x + -2x2 + -2x3 = 0 + 2x3 + -2x3
18 + 18x + -2x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
18 + 18x + -2x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 9x + -1x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + 9x + -1x2 + -1x3)' equal to zero and attempt to solve: Simplifying 9 + 9x + -1x2 + -1x3 = 0 Solving 9 + 9x + -1x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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