(4x+11)(4x+11)(5x)(5x)=1000

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Solution for (4x+11)(4x+11)(5x)(5x)=1000 equation: 


Simplifying
(4x + 11)(4x + 11)(5x)(5x) = 1000

Reorder the terms:
(11 + 4x)(4x + 11)(5x)(5x) = 1000

Reorder the terms:
(11 + 4x)(11 + 4x)(5x)(5x) = 1000

Remove parenthesis around (5x)
(11 + 4x)(11 + 4x) * 5x(5x) = 1000

Remove parenthesis around (5x)
(11 + 4x)(11 + 4x) * 5x * 5x = 1000

Reorder the terms for easier multiplication:
5 * 5x * x(11 + 4x)(11 + 4x) = 1000

Multiply 5 * 5
25x * x(11 + 4x)(11 + 4x) = 1000

Multiply x * x
25x2(11 + 4x)(11 + 4x) = 1000

Multiply (11 + 4x) * (11 + 4x)
25x2(11(11 + 4x) + 4x * (11 + 4x)) = 1000
25x2((11 * 11 + 4x * 11) + 4x * (11 + 4x)) = 1000
25x2((121 + 44x) + 4x * (11 + 4x)) = 1000
25x2(121 + 44x + (11 * 4x + 4x * 4x)) = 1000
25x2(121 + 44x + (44x + 16x2)) = 1000

Combine like terms: 44x + 44x = 88x
25x2(121 + 88x + 16x2) = 1000
(121 * 25x2 + 88x * 25x2 + 16x2 * 25x2) = 1000
(3025x2 + 2200x3 + 400x4) = 1000

Solving
3025x2 + 2200x3 + 400x4 = 1000

Solving for variable 'x'.

Reorder the terms:
-1000 + 3025x2 + 2200x3 + 400x4 = 1000 + -1000

Combine like terms: 1000 + -1000 = 0
-1000 + 3025x2 + 2200x3 + 400x4 = 0

Factor out the Greatest Common Factor (GCF), '25'.
25(-40 + 121x2 + 88x3 + 16x4) = 0

Ignore the factor 25.

Subproblem 1
Set the factor '(-40 + 121x2 + 88x3 + 16x4)' equal to zero and attempt to solve:

Simplifying
-40 + 121x2 + 88x3 + 16x4 = 0

Solving
-40 + 121x2 + 88x3 + 16x4 = 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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