1+2x(x+7)(x+2)=2x+7+4x+2

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Solution for 1+2x(x+7)(x+2)=2x+7+4x+2 equation: 


Simplifying
1 + 2x(x + 7)(x + 2) = 2x + 7 + 4x + 2

Reorder the terms:
1 + 2x(7 + x)(x + 2) = 2x + 7 + 4x + 2

Reorder the terms:
1 + 2x(7 + x)(2 + x) = 2x + 7 + 4x + 2

Multiply (7 + x) * (2 + x)
1 + 2x(7(2 + x) + x(2 + x)) = 2x + 7 + 4x + 2
1 + 2x((2 * 7 + x * 7) + x(2 + x)) = 2x + 7 + 4x + 2
1 + 2x((14 + 7x) + x(2 + x)) = 2x + 7 + 4x + 2
1 + 2x(14 + 7x + (2 * x + x * x)) = 2x + 7 + 4x + 2
1 + 2x(14 + 7x + (2x + x2)) = 2x + 7 + 4x + 2

Combine like terms: 7x + 2x = 9x
1 + 2x(14 + 9x + x2) = 2x + 7 + 4x + 2
1 + (14 * 2x + 9x * 2x + x2 * 2x) = 2x + 7 + 4x + 2
1 + (28x + 18x2 + 2x3) = 2x + 7 + 4x + 2

Reorder the terms:
1 + 28x + 18x2 + 2x3 = 7 + 2 + 2x + 4x

Combine like terms: 7 + 2 = 9
1 + 28x + 18x2 + 2x3 = 9 + 2x + 4x

Combine like terms: 2x + 4x = 6x
1 + 28x + 18x2 + 2x3 = 9 + 6x

Solving
1 + 28x + 18x2 + 2x3 = 9 + 6x

Solving for variable 'x'.

Reorder the terms:
1 + -9 + 28x + -6x + 18x2 + 2x3 = 9 + 6x + -9 + -6x

Combine like terms: 1 + -9 = -8
-8 + 28x + -6x + 18x2 + 2x3 = 9 + 6x + -9 + -6x

Combine like terms: 28x + -6x = 22x
-8 + 22x + 18x2 + 2x3 = 9 + 6x + -9 + -6x

Reorder the terms:
-8 + 22x + 18x2 + 2x3 = 9 + -9 + 6x + -6x

Combine like terms: 9 + -9 = 0
-8 + 22x + 18x2 + 2x3 = 0 + 6x + -6x
-8 + 22x + 18x2 + 2x3 = 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 22x + 18x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 11x + 9x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 11x + 9x2 + x3)' equal to zero and attempt to solve:

Simplifying
-4 + 11x + 9x2 + x3 = 0

Solving
-4 + 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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