8x+3*(x-3)=(x+1)*(4x+2)

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Solution for 8x+3*(x-3)=(x+1)*(4x+2) equation: 


Simplifying
8x + 3(x + -3) = (x + 1)(4x + 2)

Reorder the terms:
8x + 3(-3 + x) = (x + 1)(4x + 2)
8x + (-3 * 3 + x * 3) = (x + 1)(4x + 2)
8x + (-9 + 3x) = (x + 1)(4x + 2)

Reorder the terms:
-9 + 8x + 3x = (x + 1)(4x + 2)

Combine like terms: 8x + 3x = 11x
-9 + 11x = (x + 1)(4x + 2)

Reorder the terms:
-9 + 11x = (1 + x)(4x + 2)

Reorder the terms:
-9 + 11x = (1 + x)(2 + 4x)

Multiply (1 + x) * (2 + 4x)
-9 + 11x = (1(2 + 4x) + x(2 + 4x))
-9 + 11x = ((2 * 1 + 4x * 1) + x(2 + 4x))
-9 + 11x = ((2 + 4x) + x(2 + 4x))
-9 + 11x = (2 + 4x + (2 * x + 4x * x))
-9 + 11x = (2 + 4x + (2x + 4x2))

Combine like terms: 4x + 2x = 6x
-9 + 11x = (2 + 6x + 4x2)

Solving
-9 + 11x = 2 + 6x + 4x2

Solving for variable 'x'.

Reorder the terms:
-9 + -2 + 11x + -6x + -4x2 = 2 + 6x + 4x2 + -2 + -6x + -4x2

Combine like terms: -9 + -2 = -11
-11 + 11x + -6x + -4x2 = 2 + 6x + 4x2 + -2 + -6x + -4x2

Combine like terms: 11x + -6x = 5x
-11 + 5x + -4x2 = 2 + 6x + 4x2 + -2 + -6x + -4x2

Reorder the terms:
-11 + 5x + -4x2 = 2 + -2 + 6x + -6x + 4x2 + -4x2

Combine like terms: 2 + -2 = 0
-11 + 5x + -4x2 = 0 + 6x + -6x + 4x2 + -4x2
-11 + 5x + -4x2 = 6x + -6x + 4x2 + -4x2

Combine like terms: 6x + -6x = 0
-11 + 5x + -4x2 = 0 + 4x2 + -4x2
-11 + 5x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-11 + 5x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
2.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -1.25x + -2.75 + x2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -1.25x + x2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -1.25x + x2 = 0 + -2.75
-1.25x + x2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-1.25x + x2 = -2.75

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -2.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -2.75 + 0.390625

Combine like terms: -2.75 + 0.390625 = -2.359375
0.390625 + -1.25x + x2 = -2.359375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -2.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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