(X+2)(2X+2)=(4x)(x)

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Solution for (X+2)(2X+2)=(4x)(x) equation:


Simplifying
(X + 2)(2X + 2) = (4x)(x)

Reorder the terms:
(2 + X)(2X + 2) = (4x)(x)

Reorder the terms:
(2 + X)(2 + 2X) = (4x)(x)

Multiply (2 + X) * (2 + 2X)
(2(2 + 2X) + X(2 + 2X)) = (4x)(x)
((2 * 2 + 2X * 2) + X(2 + 2X)) = (4x)(x)
((4 + 4X) + X(2 + 2X)) = (4x)(x)
(4 + 4X + (2 * X + 2X * X)) = (4x)(x)
(4 + 4X + (2X + 2X2)) = (4x)(x)

Combine like terms: 4X + 2X = 6X
(4 + 6X + 2X2) = (4x)(x)

Remove parenthesis around (4x)
4 + 6X + 2X2 = 4x(x)

Multiply x * x
4 + 6X + 2X2 = 4x2

Solving
4 + 6X + 2X2 = 4x2

Solving for variable 'X'.

Combine like terms: 4x2 + -4x2 = 0
4 + 6X + 2X2 + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 3X + X2 + -2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + 3X + X2 + -2x2)' equal to zero and attempt to solve: Simplifying 2 + 3X + X2 + -2x2 = 0 Solving 2 + 3X + X2 + -2x2 = 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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