-2(x+1)(x-3)(x-7)=0

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Solution for -2(x+1)(x-3)(x-7)=0 equation: 


Simplifying
-2(x + 1)(x + -3)(x + -7) = 0

Reorder the terms:
-2(1 + x)(x + -3)(x + -7) = 0

Reorder the terms:
-2(1 + x)(-3 + x)(x + -7) = 0

Reorder the terms:
-2(1 + x)(-3 + x)(-7 + x) = 0

Multiply (1 + x) * (-3 + x)
-2(1(-3 + x) + x(-3 + x))(-7 + x) = 0
-2((-3 * 1 + x * 1) + x(-3 + x))(-7 + x) = 0
-2((-3 + 1x) + x(-3 + x))(-7 + x) = 0
-2(-3 + 1x + (-3 * x + x * x))(-7 + x) = 0
-2(-3 + 1x + (-3x + x2))(-7 + x) = 0

Combine like terms: 1x + -3x = -2x
-2(-3 + -2x + x2)(-7 + x) = 0

Multiply (-3 + -2x + x2) * (-7 + x)
-2(-3(-7 + x) + -2x * (-7 + x) + x2(-7 + x)) = 0
-2((-7 * -3 + x * -3) + -2x * (-7 + x) + x2(-7 + x)) = 0
-2((21 + -3x) + -2x * (-7 + x) + x2(-7 + x)) = 0
-2(21 + -3x + (-7 * -2x + x * -2x) + x2(-7 + x)) = 0
-2(21 + -3x + (14x + -2x2) + x2(-7 + x)) = 0
-2(21 + -3x + 14x + -2x2 + (-7 * x2 + x * x2)) = 0
-2(21 + -3x + 14x + -2x2 + (-7x2 + x3)) = 0

Combine like terms: -3x + 14x = 11x
-2(21 + 11x + -2x2 + -7x2 + x3) = 0

Combine like terms: -2x2 + -7x2 = -9x2
-2(21 + 11x + -9x2 + x3) = 0
(21 * -2 + 11x * -2 + -9x2 * -2 + x3 * -2) = 0
(-42 + -22x + 18x2 + -2x3) = 0

Solving
-42 + -22x + 18x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -11x + 9x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-21 + -11x + 9x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-21 + -11x + 9x2 + -1x3 = 0

Solving
-21 + -11x + 9x2 + -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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