x+(x+2)(x+4)(x+6)=84

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Solution for x+(x+2)(x+4)(x+6)=84 equation:


Simplifying
x + (x + 2)(x + 4)(x + 6) = 84

Reorder the terms:
x + (2 + x)(x + 4)(x + 6) = 84

Reorder the terms:
x + (2 + x)(4 + x)(x + 6) = 84

Reorder the terms:
x + (2 + x)(4 + x)(6 + x) = 84

Multiply (2 + x) * (4 + x)
x + (2(4 + x) + x(4 + x))(6 + x) = 84
x + ((4 * 2 + x * 2) + x(4 + x))(6 + x) = 84
x + ((8 + 2x) + x(4 + x))(6 + x) = 84
x + (8 + 2x + (4 * x + x * x))(6 + x) = 84
x + (8 + 2x + (4x + x2))(6 + x) = 84

Combine like terms: 2x + 4x = 6x
x + (8 + 6x + x2)(6 + x) = 84

Multiply (8 + 6x + x2) * (6 + x)
x + (8(6 + x) + 6x * (6 + x) + x2(6 + x)) = 84
x + ((6 * 8 + x * 8) + 6x * (6 + x) + x2(6 + x)) = 84
x + ((48 + 8x) + 6x * (6 + x) + x2(6 + x)) = 84
x + (48 + 8x + (6 * 6x + x * 6x) + x2(6 + x)) = 84
x + (48 + 8x + (36x + 6x2) + x2(6 + x)) = 84
x + (48 + 8x + 36x + 6x2 + (6 * x2 + x * x2)) = 84
x + (48 + 8x + 36x + 6x2 + (6x2 + x3)) = 84

Combine like terms: 8x + 36x = 44x
x + (48 + 44x + 6x2 + 6x2 + x3) = 84

Combine like terms: 6x2 + 6x2 = 12x2
x + (48 + 44x + 12x2 + x3) = 84

Reorder the terms:
48 + x + 44x + 12x2 + x3 = 84

Combine like terms: x + 44x = 45x
48 + 45x + 12x2 + x3 = 84

Solving
48 + 45x + 12x2 + x3 = 84

Solving for variable 'x'.

Reorder the terms:
48 + -84 + 45x + 12x2 + x3 = 84 + -84

Combine like terms: 48 + -84 = -36
-36 + 45x + 12x2 + x3 = 84 + -84

Combine like terms: 84 + -84 = 0
-36 + 45x + 12x2 + x3 = 0

The solution to this equation could not be determined.

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