5(x+7)+4=-6x(x-6)-3

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Solution for 5(x+7)+4=-6x(x-6)-3 equation: 


Simplifying
5(x + 7) + 4 = -6x(x + -6) + -3

Reorder the terms:
5(7 + x) + 4 = -6x(x + -6) + -3
(7 * 5 + x * 5) + 4 = -6x(x + -6) + -3
(35 + 5x) + 4 = -6x(x + -6) + -3

Reorder the terms:
35 + 4 + 5x = -6x(x + -6) + -3

Combine like terms: 35 + 4 = 39
39 + 5x = -6x(x + -6) + -3

Reorder the terms:
39 + 5x = -6x(-6 + x) + -3
39 + 5x = (-6 * -6x + x * -6x) + -3
39 + 5x = (36x + -6x2) + -3

Reorder the terms:
39 + 5x = -3 + 36x + -6x2

Solving
39 + 5x = -3 + 36x + -6x2

Solving for variable 'x'.

Reorder the terms:
39 + 3 + 5x + -36x + 6x2 = -3 + 36x + -6x2 + 3 + -36x + 6x2

Combine like terms: 39 + 3 = 42
42 + 5x + -36x + 6x2 = -3 + 36x + -6x2 + 3 + -36x + 6x2

Combine like terms: 5x + -36x = -31x
42 + -31x + 6x2 = -3 + 36x + -6x2 + 3 + -36x + 6x2

Reorder the terms:
42 + -31x + 6x2 = -3 + 3 + 36x + -36x + -6x2 + 6x2

Combine like terms: -3 + 3 = 0
42 + -31x + 6x2 = 0 + 36x + -36x + -6x2 + 6x2
42 + -31x + 6x2 = 36x + -36x + -6x2 + 6x2

Combine like terms: 36x + -36x = 0
42 + -31x + 6x2 = 0 + -6x2 + 6x2
42 + -31x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
42 + -31x + 6x2 = 0

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

Divide each side by '6'.
7 + -5.166666667x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -5.166666667x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -5.166666667x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5.166666667x + x2 = 0 + -7
-5.166666667x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-5.166666667x + x2 = -7

The x term is -5.166666667x.  Take half its coefficient (-2.583333334).
Square it (6.673611115) and add it to both sides.

Add '6.673611115' to each side of the equation.
-5.166666667x + 6.673611115 + x2 = -7 + 6.673611115

Reorder the terms:
6.673611115 + -5.166666667x + x2 = -7 + 6.673611115

Combine like terms: -7 + 6.673611115 = -0.326388885
6.673611115 + -5.166666667x + x2 = -0.326388885

Factor a perfect square on the left side:
(x + -2.583333334)(x + -2.583333334) = -0.326388885

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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