((9x-11)+(7x-3))=((4x+1)(4x+1))

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Solution for ((9x-11)+(7x-3))=((4x+1)(4x+1)) equation: 


Simplifying
((9x + -11) + (7x + -3)) = ((4x + 1)(4x + 1))

Reorder the terms:
((-11 + 9x) + (7x + -3)) = ((4x + 1)(4x + 1))

Remove parenthesis around (-11 + 9x)
(-11 + 9x + (7x + -3)) = ((4x + 1)(4x + 1))

Reorder the terms:
(-11 + 9x + (-3 + 7x)) = ((4x + 1)(4x + 1))

Remove parenthesis around (-3 + 7x)
(-11 + 9x + -3 + 7x) = ((4x + 1)(4x + 1))

Reorder the terms:
(-11 + -3 + 9x + 7x) = ((4x + 1)(4x + 1))

Combine like terms: -11 + -3 = -14
(-14 + 9x + 7x) = ((4x + 1)(4x + 1))

Combine like terms: 9x + 7x = 16x
(-14 + 16x) = ((4x + 1)(4x + 1))

Remove parenthesis around (-14 + 16x)
-14 + 16x = ((4x + 1)(4x + 1))

Reorder the terms:
-14 + 16x = ((1 + 4x)(4x + 1))

Reorder the terms:
-14 + 16x = ((1 + 4x)(1 + 4x))

Multiply (1 + 4x) * (1 + 4x)
-14 + 16x = ((1(1 + 4x) + 4x * (1 + 4x)))
-14 + 16x = (((1 * 1 + 4x * 1) + 4x * (1 + 4x)))
-14 + 16x = (((1 + 4x) + 4x * (1 + 4x)))
-14 + 16x = ((1 + 4x + (1 * 4x + 4x * 4x)))
-14 + 16x = ((1 + 4x + (4x + 16x2)))

Combine like terms: 4x + 4x = 8x
-14 + 16x = ((1 + 8x + 16x2))
-14 + 16x = (1 + 8x + 16x2)

Remove parenthesis around (1 + 8x + 16x2)
-14 + 16x = 1 + 8x + 16x2

Solving
-14 + 16x = 1 + 8x + 16x2

Solving for variable 'x'.

Reorder the terms:
-14 + -1 + 16x + -8x + -16x2 = 1 + 8x + 16x2 + -1 + -8x + -16x2

Combine like terms: -14 + -1 = -15
-15 + 16x + -8x + -16x2 = 1 + 8x + 16x2 + -1 + -8x + -16x2

Combine like terms: 16x + -8x = 8x
-15 + 8x + -16x2 = 1 + 8x + 16x2 + -1 + -8x + -16x2

Reorder the terms:
-15 + 8x + -16x2 = 1 + -1 + 8x + -8x + 16x2 + -16x2

Combine like terms: 1 + -1 = 0
-15 + 8x + -16x2 = 0 + 8x + -8x + 16x2 + -16x2
-15 + 8x + -16x2 = 8x + -8x + 16x2 + -16x2

Combine like terms: 8x + -8x = 0
-15 + 8x + -16x2 = 0 + 16x2 + -16x2
-15 + 8x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-15 + 8x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.9375 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.9375' to each side of the equation.
0.9375 + -0.5x + -0.9375 + x2 = 0 + -0.9375

Reorder the terms:
0.9375 + -0.9375 + -0.5x + x2 = 0 + -0.9375

Combine like terms: 0.9375 + -0.9375 = 0.0000
0.0000 + -0.5x + x2 = 0 + -0.9375
-0.5x + x2 = 0 + -0.9375

Combine like terms: 0 + -0.9375 = -0.9375
-0.5x + x2 = -0.9375

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.9375 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.9375 + 0.0625

Combine like terms: -0.9375 + 0.0625 = -0.875
0.0625 + -0.5x + x2 = -0.875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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