(9x+1)(9x-1)-7x(2x-4)+5=

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Solution for (9x+1)(9x-1)-7x(2x-4)+5= equation:


Simplifying
(9x + 1)(9x + -1) + -7x(2x + -4) + 5 = 0

Reorder the terms:
(1 + 9x)(9x + -1) + -7x(2x + -4) + 5 = 0

Reorder the terms:
(1 + 9x)(-1 + 9x) + -7x(2x + -4) + 5 = 0

Multiply (1 + 9x) * (-1 + 9x)
(1(-1 + 9x) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0
((-1 * 1 + 9x * 1) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0
((-1 + 9x) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0
(-1 + 9x + (-1 * 9x + 9x * 9x)) + -7x(2x + -4) + 5 = 0
(-1 + 9x + (-9x + 81x2)) + -7x(2x + -4) + 5 = 0

Combine like terms: 9x + -9x = 0
(-1 + 0 + 81x2) + -7x(2x + -4) + 5 = 0
(-1 + 81x2) + -7x(2x + -4) + 5 = 0

Reorder the terms:
-1 + 81x2 + -7x(-4 + 2x) + 5 = 0
-1 + 81x2 + (-4 * -7x + 2x * -7x) + 5 = 0
-1 + 81x2 + (28x + -14x2) + 5 = 0

Reorder the terms:
-1 + 5 + 28x + 81x2 + -14x2 = 0

Combine like terms: -1 + 5 = 4
4 + 28x + 81x2 + -14x2 = 0

Combine like terms: 81x2 + -14x2 = 67x2
4 + 28x + 67x2 = 0

Solving
4 + 28x + 67x2 = 0

Solving for variable 'x'.

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

Divide each side by '67'.
0.05970149254 + 0.4179104478x + x2 = 0

Move the constant term to the right:

Add '-0.05970149254' to each side of the equation.
0.05970149254 + 0.4179104478x + -0.05970149254 + x2 = 0 + -0.05970149254

Reorder the terms:
0.05970149254 + -0.05970149254 + 0.4179104478x + x2 = 0 + -0.05970149254

Combine like terms: 0.05970149254 + -0.05970149254 = 0.00000000000
0.00000000000 + 0.4179104478x + x2 = 0 + -0.05970149254
0.4179104478x + x2 = 0 + -0.05970149254

Combine like terms: 0 + -0.05970149254 = -0.05970149254
0.4179104478x + x2 = -0.05970149254

The x term is 0.4179104478x.  Take half its coefficient (0.2089552239).
Square it (0.04366228560) and add it to both sides.

Add '0.04366228560' to each side of the equation.
0.4179104478x + 0.04366228560 + x2 = -0.05970149254 + 0.04366228560

Reorder the terms:
0.04366228560 + 0.4179104478x + x2 = -0.05970149254 + 0.04366228560

Combine like terms: -0.05970149254 + 0.04366228560 = -0.01603920694
0.04366228560 + 0.4179104478x + x2 = -0.01603920694

Factor a perfect square on the left side:
(x + 0.2089552239)(x + 0.2089552239) = -0.01603920694

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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