(X+6)(4x+8)+x(x+8)=1

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Solution for (X+6)(4x+8)+x(x+8)=1 equation:


Simplifying
(X + 6)(4x + 8) + x(x + 8) = 1

Reorder the terms:
(6 + X)(4x + 8) + x(x + 8) = 1

Reorder the terms:
(6 + X)(8 + 4x) + x(x + 8) = 1

Multiply (6 + X) * (8 + 4x)
(6(8 + 4x) + X(8 + 4x)) + x(x + 8) = 1
((8 * 6 + 4x * 6) + X(8 + 4x)) + x(x + 8) = 1
((48 + 24x) + X(8 + 4x)) + x(x + 8) = 1
(48 + 24x + (8 * X + 4x * X)) + x(x + 8) = 1
(48 + 24x + (8X + 4xX)) + x(x + 8) = 1

Reorder the terms:
(48 + 8X + 24x + 4xX) + x(x + 8) = 1
(48 + 8X + 24x + 4xX) + x(x + 8) = 1

Reorder the terms:
48 + 8X + 24x + 4xX + x(8 + x) = 1
48 + 8X + 24x + 4xX + (8 * x + x * x) = 1
48 + 8X + 24x + 4xX + (8x + x2) = 1

Reorder the terms:
48 + 8X + 24x + 8x + 4xX + x2 = 1

Combine like terms: 24x + 8x = 32x
48 + 8X + 32x + 4xX + x2 = 1

Solving
48 + 8X + 32x + 4xX + x2 = 1

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-48' to each side of the equation.
48 + 8X + 32x + 4xX + -48 + x2 = 1 + -48

Reorder the terms:
48 + -48 + 8X + 32x + 4xX + x2 = 1 + -48

Combine like terms: 48 + -48 = 0
0 + 8X + 32x + 4xX + x2 = 1 + -48
8X + 32x + 4xX + x2 = 1 + -48

Combine like terms: 1 + -48 = -47
8X + 32x + 4xX + x2 = -47

Add '-32x' to each side of the equation.
8X + 32x + 4xX + -32x + x2 = -47 + -32x

Reorder the terms:
8X + 32x + -32x + 4xX + x2 = -47 + -32x

Combine like terms: 32x + -32x = 0
8X + 0 + 4xX + x2 = -47 + -32x
8X + 4xX + x2 = -47 + -32x

Add '-1x2' to each side of the equation.
8X + 4xX + x2 + -1x2 = -47 + -32x + -1x2

Combine like terms: x2 + -1x2 = 0
8X + 4xX + 0 = -47 + -32x + -1x2
8X + 4xX = -47 + -32x + -1x2

Reorder the terms:
47 + 8X + 32x + 4xX + x2 = -47 + -32x + -1x2 + 47 + 32x + x2

Reorder the terms:
47 + 8X + 32x + 4xX + x2 = -47 + 47 + -32x + 32x + -1x2 + x2

Combine like terms: -47 + 47 = 0
47 + 8X + 32x + 4xX + x2 = 0 + -32x + 32x + -1x2 + x2
47 + 8X + 32x + 4xX + x2 = -32x + 32x + -1x2 + x2

Combine like terms: -32x + 32x = 0
47 + 8X + 32x + 4xX + x2 = 0 + -1x2 + x2
47 + 8X + 32x + 4xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
47 + 8X + 32x + 4xX + x2 = 0

The solution to this equation could not be determined.

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