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

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


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

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

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

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

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

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

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

Combine like terms: -5x + -8x = -13x
2(-10 + -13x + -4x2 + 2x2 + x3) = 0

Combine like terms: -4x2 + 2x2 = -2x2
2(-10 + -13x + -2x2 + x3) = 0
(-10 * 2 + -13x * 2 + -2x2 * 2 + x3 * 2) = 0
(-20 + -26x + -4x2 + 2x3) = 0

Solving
-20 + -26x + -4x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -13x + -2x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -13x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-10 + -13x + -2x2 + x3 = 0

Solving
-10 + -13x + -2x2 + x3 = 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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