3x(7x-3)+8=

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


Simplifying
3x(7x + -3) + 8 = 0

Reorder the terms:
3x(-3 + 7x) + 8 = 0
(-3 * 3x + 7x * 3x) + 8 = 0
(-9x + 21x2) + 8 = 0

Reorder the terms:
8 + -9x + 21x2 = 0

Solving
8 + -9x + 21x2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
0.380952381 + -0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-0.380952381' to each side of the equation.
0.380952381 + -0.4285714286x + -0.380952381 + x2 = 0 + -0.380952381

Reorder the terms:
0.380952381 + -0.380952381 + -0.4285714286x + x2 = 0 + -0.380952381

Combine like terms: 0.380952381 + -0.380952381 = 0.000000000
0.000000000 + -0.4285714286x + x2 = 0 + -0.380952381
-0.4285714286x + x2 = 0 + -0.380952381

Combine like terms: 0 + -0.380952381 = -0.380952381
-0.4285714286x + x2 = -0.380952381

The x term is -0.4285714286x.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286x + 0.04591836735 + x2 = -0.380952381 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286x + x2 = -0.380952381 + 0.04591836735

Combine like terms: -0.380952381 + 0.04591836735 = -0.33503401365
0.04591836735 + -0.4285714286x + x2 = -0.33503401365

Factor a perfect square on the left side:
(x + -0.2142857143)(x + -0.2142857143) = -0.33503401365

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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