3x-4=x(x+7)(x+2)-3

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Solution for 3x-4=x(x+7)(x+2)-3 equation: 


Simplifying
3x + -4 = x(x + 7)(x + 2) + -3

Reorder the terms:
-4 + 3x = x(x + 7)(x + 2) + -3

Reorder the terms:
-4 + 3x = x(7 + x)(x + 2) + -3

Reorder the terms:
-4 + 3x = x(7 + x)(2 + x) + -3

Multiply (7 + x) * (2 + x)
-4 + 3x = x(7(2 + x) + x(2 + x)) + -3
-4 + 3x = x((2 * 7 + x * 7) + x(2 + x)) + -3
-4 + 3x = x((14 + 7x) + x(2 + x)) + -3
-4 + 3x = x(14 + 7x + (2 * x + x * x)) + -3
-4 + 3x = x(14 + 7x + (2x + x2)) + -3

Combine like terms: 7x + 2x = 9x
-4 + 3x = x(14 + 9x + x2) + -3
-4 + 3x = (14 * x + 9x * x + x2 * x) + -3
-4 + 3x = (14x + 9x2 + x3) + -3

Reorder the terms:
-4 + 3x = -3 + 14x + 9x2 + x3

Solving
-4 + 3x = -3 + 14x + 9x2 + x3

Solving for variable 'x'.

Reorder the terms:
-4 + 3 + 3x + -14x + -9x2 + -1x3 = -3 + 14x + 9x2 + x3 + 3 + -14x + -9x2 + -1x3

Combine like terms: -4 + 3 = -1
-1 + 3x + -14x + -9x2 + -1x3 = -3 + 14x + 9x2 + x3 + 3 + -14x + -9x2 + -1x3

Combine like terms: 3x + -14x = -11x
-1 + -11x + -9x2 + -1x3 = -3 + 14x + 9x2 + x3 + 3 + -14x + -9x2 + -1x3

Reorder the terms:
-1 + -11x + -9x2 + -1x3 = -3 + 3 + 14x + -14x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: -3 + 3 = 0
-1 + -11x + -9x2 + -1x3 = 0 + 14x + -14x + 9x2 + -9x2 + x3 + -1x3
-1 + -11x + -9x2 + -1x3 = 14x + -14x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: 14x + -14x = 0
-1 + -11x + -9x2 + -1x3 = 0 + 9x2 + -9x2 + x3 + -1x3
-1 + -11x + -9x2 + -1x3 = 9x2 + -9x2 + x3 + -1x3

Combine like terms: 9x2 + -9x2 = 0
-1 + -11x + -9x2 + -1x3 = 0 + x3 + -1x3
-1 + -11x + -9x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1 + -11x + -9x2 + -1x3 = 0

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

Ignore the factor -1.

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

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

Solving
1 + 11x + 9x2 + 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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