(2x+7)(2x+10)2x(2x)=342

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Solution for (2x+7)(2x+10)2x(2x)=342 equation: 


Simplifying
(2x + 7)(2x + 10) * 2x(2x) = 342

Reorder the terms:
(7 + 2x)(2x + 10) * 2x(2x) = 342

Reorder the terms:
(7 + 2x)(10 + 2x) * 2x(2x) = 342

Remove parenthesis around (2x)
(7 + 2x)(10 + 2x) * 2x * 2x = 342

Reorder the terms for easier multiplication:
2 * 2x * x(7 + 2x)(10 + 2x) = 342

Multiply 2 * 2
4x * x(7 + 2x)(10 + 2x) = 342

Multiply x * x
4x2(7 + 2x)(10 + 2x) = 342

Multiply (7 + 2x) * (10 + 2x)
4x2(7(10 + 2x) + 2x * (10 + 2x)) = 342
4x2((10 * 7 + 2x * 7) + 2x * (10 + 2x)) = 342
4x2((70 + 14x) + 2x * (10 + 2x)) = 342
4x2(70 + 14x + (10 * 2x + 2x * 2x)) = 342
4x2(70 + 14x + (20x + 4x2)) = 342

Combine like terms: 14x + 20x = 34x
4x2(70 + 34x + 4x2) = 342
(70 * 4x2 + 34x * 4x2 + 4x2 * 4x2) = 342
(280x2 + 136x3 + 16x4) = 342

Solving
280x2 + 136x3 + 16x4 = 342

Solving for variable 'x'.

Reorder the terms:
-342 + 280x2 + 136x3 + 16x4 = 342 + -342

Combine like terms: 342 + -342 = 0
-342 + 280x2 + 136x3 + 16x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-171 + 140x2 + 68x3 + 8x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-171 + 140x2 + 68x3 + 8x4)' equal to zero and attempt to solve:

Simplifying
-171 + 140x2 + 68x3 + 8x4 = 0

Solving
-171 + 140x2 + 68x3 + 8x4 = 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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