2(-2x+3)(4-x)(x+9)=0

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Solution for 2(-2x+3)(4-x)(x+9)=0 equation: 


Simplifying
2(-2x + 3)(4 + -1x)(x + 9) = 0

Reorder the terms:
2(3 + -2x)(4 + -1x)(x + 9) = 0

Reorder the terms:
2(3 + -2x)(4 + -1x)(9 + x) = 0

Multiply (3 + -2x) * (4 + -1x)
2(3(4 + -1x) + -2x * (4 + -1x))(9 + x) = 0
2((4 * 3 + -1x * 3) + -2x * (4 + -1x))(9 + x) = 0
2((12 + -3x) + -2x * (4 + -1x))(9 + x) = 0
2(12 + -3x + (4 * -2x + -1x * -2x))(9 + x) = 0
2(12 + -3x + (-8x + 2x2))(9 + x) = 0

Combine like terms: -3x + -8x = -11x
2(12 + -11x + 2x2)(9 + x) = 0

Multiply (12 + -11x + 2x2) * (9 + x)
2(12(9 + x) + -11x * (9 + x) + 2x2 * (9 + x)) = 0
2((9 * 12 + x * 12) + -11x * (9 + x) + 2x2 * (9 + x)) = 0
2((108 + 12x) + -11x * (9 + x) + 2x2 * (9 + x)) = 0
2(108 + 12x + (9 * -11x + x * -11x) + 2x2 * (9 + x)) = 0
2(108 + 12x + (-99x + -11x2) + 2x2 * (9 + x)) = 0
2(108 + 12x + -99x + -11x2 + (9 * 2x2 + x * 2x2)) = 0
2(108 + 12x + -99x + -11x2 + (18x2 + 2x3)) = 0

Combine like terms: 12x + -99x = -87x
2(108 + -87x + -11x2 + 18x2 + 2x3) = 0

Combine like terms: -11x2 + 18x2 = 7x2
2(108 + -87x + 7x2 + 2x3) = 0
(108 * 2 + -87x * 2 + 7x2 * 2 + 2x3 * 2) = 0
(216 + -174x + 14x2 + 4x3) = 0

Solving
216 + -174x + 14x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(108 + -87x + 7x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(108 + -87x + 7x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
108 + -87x + 7x2 + 2x3 = 0

Solving
108 + -87x + 7x2 + 2x3 = 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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