-6x(4x+1)+7x+9(x-3)=4

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Solution for -6x(4x+1)+7x+9(x-3)=4 equation: 


Simplifying
-6x(4x + 1) + 7x + 9(x + -3) = 4

Reorder the terms:
-6x(1 + 4x) + 7x + 9(x + -3) = 4
(1 * -6x + 4x * -6x) + 7x + 9(x + -3) = 4
(-6x + -24x2) + 7x + 9(x + -3) = 4

Reorder the terms:
-6x + -24x2 + 7x + 9(-3 + x) = 4
-6x + -24x2 + 7x + (-3 * 9 + x * 9) = 4
-6x + -24x2 + 7x + (-27 + 9x) = 4

Reorder the terms:
-27 + -6x + 7x + 9x + -24x2 = 4

Combine like terms: -6x + 7x = 1x
-27 + 1x + 9x + -24x2 = 4

Combine like terms: 1x + 9x = 10x
-27 + 10x + -24x2 = 4

Solving
-27 + 10x + -24x2 = 4

Solving for variable 'x'.

Reorder the terms:
-27 + -4 + 10x + -24x2 = 4 + -4

Combine like terms: -27 + -4 = -31
-31 + 10x + -24x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-31 + 10x + -24x2 = 0

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
1.291666667 + -0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-1.291666667' to each side of the equation.
1.291666667 + -0.4166666667x + -1.291666667 + x2 = 0 + -1.291666667

Reorder the terms:
1.291666667 + -1.291666667 + -0.4166666667x + x2 = 0 + -1.291666667

Combine like terms: 1.291666667 + -1.291666667 = 0.000000000
0.000000000 + -0.4166666667x + x2 = 0 + -1.291666667
-0.4166666667x + x2 = 0 + -1.291666667

Combine like terms: 0 + -1.291666667 = -1.291666667
-0.4166666667x + x2 = -1.291666667

The x term is -0.4166666667x.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667x + 0.04340277781 + x2 = -1.291666667 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667x + x2 = -1.291666667 + 0.04340277781

Combine like terms: -1.291666667 + 0.04340277781 = -1.24826388919
0.04340277781 + -0.4166666667x + x2 = -1.24826388919

Factor a perfect square on the left side:
(x + -0.2083333334)(x + -0.2083333334) = -1.24826388919

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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