6x^2+14x+4=(x+1)(2x+d)

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Solution for 6x^2+14x+4=(x+1)(2x+d) equation: 


Simplifying
6x2 + 14x + 4 = (x + 1)(2x + d)

Reorder the terms:
4 + 14x + 6x2 = (x + 1)(2x + d)

Reorder the terms:
4 + 14x + 6x2 = (1 + x)(2x + d)

Reorder the terms:
4 + 14x + 6x2 = (1 + x)(d + 2x)

Multiply (1 + x) * (d + 2x)
4 + 14x + 6x2 = (1(d + 2x) + x(d + 2x))
4 + 14x + 6x2 = ((d * 1 + 2x * 1) + x(d + 2x))
4 + 14x + 6x2 = ((1d + 2x) + x(d + 2x))
4 + 14x + 6x2 = (1d + 2x + (d * x + 2x * x))
4 + 14x + 6x2 = (1d + 2x + (dx + 2x2))

Reorder the terms:
4 + 14x + 6x2 = (1d + dx + 2x + 2x2)
4 + 14x + 6x2 = (1d + dx + 2x + 2x2)

Solving
4 + 14x + 6x2 = 1d + dx + 2x + 2x2

Solving for variable 'x'.

Reorder the terms:
4 + -1d + -1dx + 14x + -2x + 6x2 + -2x2 = 1d + dx + 2x + 2x2 + -1d + -1dx + -2x + -2x2

Combine like terms: 14x + -2x = 12x
4 + -1d + -1dx + 12x + 6x2 + -2x2 = 1d + dx + 2x + 2x2 + -1d + -1dx + -2x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
4 + -1d + -1dx + 12x + 4x2 = 1d + dx + 2x + 2x2 + -1d + -1dx + -2x + -2x2

Reorder the terms:
4 + -1d + -1dx + 12x + 4x2 = 1d + -1d + dx + -1dx + 2x + -2x + 2x2 + -2x2

Combine like terms: 1d + -1d = 0
4 + -1d + -1dx + 12x + 4x2 = 0 + dx + -1dx + 2x + -2x + 2x2 + -2x2
4 + -1d + -1dx + 12x + 4x2 = dx + -1dx + 2x + -2x + 2x2 + -2x2

Combine like terms: dx + -1dx = 0
4 + -1d + -1dx + 12x + 4x2 = 0 + 2x + -2x + 2x2 + -2x2
4 + -1d + -1dx + 12x + 4x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
4 + -1d + -1dx + 12x + 4x2 = 0 + 2x2 + -2x2
4 + -1d + -1dx + 12x + 4x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -1d + -1dx + 12x + 4x2 = 0

The solution to this equation could not be determined.

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