4x(2-3x)+2x=7

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Solution for 4x(2-3x)+2x=7 equation: 


Simplifying
4x(2 + -3x) + 2x = 7
(2 * 4x + -3x * 4x) + 2x = 7
(8x + -12x2) + 2x = 7

Reorder the terms:
8x + 2x + -12x2 = 7

Combine like terms: 8x + 2x = 10x
10x + -12x2 = 7

Solving
10x + -12x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + 10x + -12x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 10x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.5833333333 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + -0.8333333333x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + -0.8333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + -0.8333333333x + x2 = 0 + -0.5833333333
-0.8333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
-0.8333333333x + x2 = -0.5833333333

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -0.5833333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -0.5833333333 + 0.1736111111

Combine like terms: -0.5833333333 + 0.1736111111 = -0.4097222222
0.1736111111 + -0.8333333333x + x2 = -0.4097222222

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.4097222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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