3x-7=11x(8x-2)

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Solution for 3x-7=11x(8x-2) equation: 


Simplifying
3x + -7 = 11x(8x + -2)

Reorder the terms:
-7 + 3x = 11x(8x + -2)

Reorder the terms:
-7 + 3x = 11x(-2 + 8x)
-7 + 3x = (-2 * 11x + 8x * 11x)
-7 + 3x = (-22x + 88x2)

Solving
-7 + 3x = -22x + 88x2

Solving for variable 'x'.

Combine like terms: 3x + 22x = 25x
-7 + 25x + -88x2 = -22x + 88x2 + 22x + -88x2

Reorder the terms:
-7 + 25x + -88x2 = -22x + 22x + 88x2 + -88x2

Combine like terms: -22x + 22x = 0
-7 + 25x + -88x2 = 0 + 88x2 + -88x2
-7 + 25x + -88x2 = 88x2 + -88x2

Combine like terms: 88x2 + -88x2 = 0
-7 + 25x + -88x2 = 0

Begin completing the square.  Divide all terms by
-88 the coefficient of the squared term: 

Divide each side by '-88'.
0.07954545455 + -0.2840909091x + x2 = 0

Move the constant term to the right:

Add '-0.07954545455' to each side of the equation.
0.07954545455 + -0.2840909091x + -0.07954545455 + x2 = 0 + -0.07954545455

Reorder the terms:
0.07954545455 + -0.07954545455 + -0.2840909091x + x2 = 0 + -0.07954545455

Combine like terms: 0.07954545455 + -0.07954545455 = 0.00000000000
0.00000000000 + -0.2840909091x + x2 = 0 + -0.07954545455
-0.2840909091x + x2 = 0 + -0.07954545455

Combine like terms: 0 + -0.07954545455 = -0.07954545455
-0.2840909091x + x2 = -0.07954545455

The x term is -0.2840909091x.  Take half its coefficient (-0.1420454546).
Square it (0.02017691117) and add it to both sides.

Add '0.02017691117' to each side of the equation.
-0.2840909091x + 0.02017691117 + x2 = -0.07954545455 + 0.02017691117

Reorder the terms:
0.02017691117 + -0.2840909091x + x2 = -0.07954545455 + 0.02017691117

Combine like terms: -0.07954545455 + 0.02017691117 = -0.05936854338
0.02017691117 + -0.2840909091x + x2 = -0.05936854338

Factor a perfect square on the left side:
(x + -0.1420454546)(x + -0.1420454546) = -0.05936854338

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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