3x(2x-1)=4-(7x+9)

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Solution for 3x(2x-1)=4-(7x+9) equation: 


Simplifying
3x(2x + -1) = 4 + -1(7x + 9)

Reorder the terms:
3x(-1 + 2x) = 4 + -1(7x + 9)
(-1 * 3x + 2x * 3x) = 4 + -1(7x + 9)
(-3x + 6x2) = 4 + -1(7x + 9)

Reorder the terms:
-3x + 6x2 = 4 + -1(9 + 7x)
-3x + 6x2 = 4 + (9 * -1 + 7x * -1)
-3x + 6x2 = 4 + (-9 + -7x)

Combine like terms: 4 + -9 = -5
-3x + 6x2 = -5 + -7x

Solving
-3x + 6x2 = -5 + -7x

Solving for variable 'x'.

Reorder the terms:
5 + -3x + 7x + 6x2 = -5 + -7x + 5 + 7x

Combine like terms: -3x + 7x = 4x
5 + 4x + 6x2 = -5 + -7x + 5 + 7x

Reorder the terms:
5 + 4x + 6x2 = -5 + 5 + -7x + 7x

Combine like terms: -5 + 5 = 0
5 + 4x + 6x2 = 0 + -7x + 7x
5 + 4x + 6x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
5 + 4x + 6x2 = 0

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

Divide each side by '6'.
0.8333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 0.6666666667x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 0.6666666667x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.8333333333
0.6666666667x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
0.6666666667x + x2 = -0.8333333333

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.8333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.8333333333 + 0.1111111112

Combine like terms: -0.8333333333 + 0.1111111112 = -0.7222222221
0.1111111112 + 0.6666666667x + x2 = -0.7222222221

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.7222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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