4x(-7x+2)=23

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Solution for 4x(-7x+2)=23 equation: 


Simplifying
4x(-7x + 2) = 23

Reorder the terms:
4x(2 + -7x) = 23
(2 * 4x + -7x * 4x) = 23
(8x + -28x2) = 23

Solving
8x + -28x2 = 23

Solving for variable 'x'.

Reorder the terms:
-23 + 8x + -28x2 = 23 + -23

Combine like terms: 23 + -23 = 0
-23 + 8x + -28x2 = 0

Begin completing the square.  Divide all terms by
-28 the coefficient of the squared term: 

Divide each side by '-28'.
0.8214285714 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.8214285714' to each side of the equation.
0.8214285714 + -0.2857142857x + -0.8214285714 + x2 = 0 + -0.8214285714

Reorder the terms:
0.8214285714 + -0.8214285714 + -0.2857142857x + x2 = 0 + -0.8214285714

Combine like terms: 0.8214285714 + -0.8214285714 = 0.0000000000
0.0000000000 + -0.2857142857x + x2 = 0 + -0.8214285714
-0.2857142857x + x2 = 0 + -0.8214285714

Combine like terms: 0 + -0.8214285714 = -0.8214285714
-0.2857142857x + x2 = -0.8214285714

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.8214285714 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.8214285714 + 0.02040816328

Combine like terms: -0.8214285714 + 0.02040816328 = -0.80102040812
0.02040816328 + -0.2857142857x + x2 = -0.80102040812

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.80102040812

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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