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

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


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

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

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

Multiply (-3 + x) * (1 + 2x)
2(-3(1 + 2x) + x(1 + 2x))(5 + -1x) = 0
2((1 * -3 + 2x * -3) + x(1 + 2x))(5 + -1x) = 0
2((-3 + -6x) + x(1 + 2x))(5 + -1x) = 0
2(-3 + -6x + (1 * x + 2x * x))(5 + -1x) = 0
2(-3 + -6x + (1x + 2x2))(5 + -1x) = 0

Combine like terms: -6x + 1x = -5x
2(-3 + -5x + 2x2)(5 + -1x) = 0

Multiply (-3 + -5x + 2x2) * (5 + -1x)
2(-3(5 + -1x) + -5x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
2((5 * -3 + -1x * -3) + -5x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
2((-15 + 3x) + -5x * (5 + -1x) + 2x2 * (5 + -1x)) = 0
2(-15 + 3x + (5 * -5x + -1x * -5x) + 2x2 * (5 + -1x)) = 0
2(-15 + 3x + (-25x + 5x2) + 2x2 * (5 + -1x)) = 0
2(-15 + 3x + -25x + 5x2 + (5 * 2x2 + -1x * 2x2)) = 0
2(-15 + 3x + -25x + 5x2 + (10x2 + -2x3)) = 0

Combine like terms: 3x + -25x = -22x
2(-15 + -22x + 5x2 + 10x2 + -2x3) = 0

Combine like terms: 5x2 + 10x2 = 15x2
2(-15 + -22x + 15x2 + -2x3) = 0
(-15 * 2 + -22x * 2 + 15x2 * 2 + -2x3 * 2) = 0
(-30 + -44x + 30x2 + -4x3) = 0

Solving
-30 + -44x + 30x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -22x + 15x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + -22x + 15x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-15 + -22x + 15x2 + -2x3 = 0

Solving
-15 + -22x + 15x2 + -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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