3(x-1)(x+5)(2x-9)=0

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Solution for 3(x-1)(x+5)(2x-9)=0 equation: 


Simplifying
3(x + -1)(x + 5)(2x + -9) = 0

Reorder the terms:
3(-1 + x)(x + 5)(2x + -9) = 0

Reorder the terms:
3(-1 + x)(5 + x)(2x + -9) = 0

Reorder the terms:
3(-1 + x)(5 + x)(-9 + 2x) = 0

Multiply (-1 + x) * (5 + x)
3(-1(5 + x) + x(5 + x))(-9 + 2x) = 0
3((5 * -1 + x * -1) + x(5 + x))(-9 + 2x) = 0
3((-5 + -1x) + x(5 + x))(-9 + 2x) = 0
3(-5 + -1x + (5 * x + x * x))(-9 + 2x) = 0
3(-5 + -1x + (5x + x2))(-9 + 2x) = 0

Combine like terms: -1x + 5x = 4x
3(-5 + 4x + x2)(-9 + 2x) = 0

Multiply (-5 + 4x + x2) * (-9 + 2x)
3(-5(-9 + 2x) + 4x * (-9 + 2x) + x2(-9 + 2x)) = 0
3((-9 * -5 + 2x * -5) + 4x * (-9 + 2x) + x2(-9 + 2x)) = 0
3((45 + -10x) + 4x * (-9 + 2x) + x2(-9 + 2x)) = 0
3(45 + -10x + (-9 * 4x + 2x * 4x) + x2(-9 + 2x)) = 0
3(45 + -10x + (-36x + 8x2) + x2(-9 + 2x)) = 0
3(45 + -10x + -36x + 8x2 + (-9 * x2 + 2x * x2)) = 0
3(45 + -10x + -36x + 8x2 + (-9x2 + 2x3)) = 0

Combine like terms: -10x + -36x = -46x
3(45 + -46x + 8x2 + -9x2 + 2x3) = 0

Combine like terms: 8x2 + -9x2 = -1x2
3(45 + -46x + -1x2 + 2x3) = 0
(45 * 3 + -46x * 3 + -1x2 * 3 + 2x3 * 3) = 0
(135 + -138x + -3x2 + 6x3) = 0

Solving
135 + -138x + -3x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(45 + -46x + -1x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(45 + -46x + -1x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
45 + -46x + -1x2 + 2x3 = 0

Solving
45 + -46x + -1x2 + 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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