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

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Solution for 53(x-1)(x-2)(3x+7)=0 equation: 


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

Reorder the terms:
53(-1 + x)(x + -2)(3x + 7) = 0

Reorder the terms:
53(-1 + x)(-2 + x)(3x + 7) = 0

Reorder the terms:
53(-1 + x)(-2 + x)(7 + 3x) = 0

Multiply (-1 + x) * (-2 + x)
53(-1(-2 + x) + x(-2 + x))(7 + 3x) = 0
53((-2 * -1 + x * -1) + x(-2 + x))(7 + 3x) = 0
53((2 + -1x) + x(-2 + x))(7 + 3x) = 0
53(2 + -1x + (-2 * x + x * x))(7 + 3x) = 0
53(2 + -1x + (-2x + x2))(7 + 3x) = 0

Combine like terms: -1x + -2x = -3x
53(2 + -3x + x2)(7 + 3x) = 0

Multiply (2 + -3x + x2) * (7 + 3x)
53(2(7 + 3x) + -3x * (7 + 3x) + x2(7 + 3x)) = 0
53((7 * 2 + 3x * 2) + -3x * (7 + 3x) + x2(7 + 3x)) = 0
53((14 + 6x) + -3x * (7 + 3x) + x2(7 + 3x)) = 0
53(14 + 6x + (7 * -3x + 3x * -3x) + x2(7 + 3x)) = 0
53(14 + 6x + (-21x + -9x2) + x2(7 + 3x)) = 0
53(14 + 6x + -21x + -9x2 + (7 * x2 + 3x * x2)) = 0
53(14 + 6x + -21x + -9x2 + (7x2 + 3x3)) = 0

Combine like terms: 6x + -21x = -15x
53(14 + -15x + -9x2 + 7x2 + 3x3) = 0

Combine like terms: -9x2 + 7x2 = -2x2
53(14 + -15x + -2x2 + 3x3) = 0
(14 * 53 + -15x * 53 + -2x2 * 53 + 3x3 * 53) = 0
(742 + -795x + -106x2 + 159x3) = 0

Solving
742 + -795x + -106x2 + 159x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '53'.
53(14 + -15x + -2x2 + 3x3) = 0

Ignore the factor 53.

Subproblem 1
Set the factor '(14 + -15x + -2x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
14 + -15x + -2x2 + 3x3 = 0

Solving
14 + -15x + -2x2 + 3x3 = 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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