8x(3x+2)=3x-10

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Solution for 8x(3x+2)=3x-10 equation:


Simplifying
8x(3x + 2) = 3x + -10

Reorder the terms:
8x(2 + 3x) = 3x + -10
(2 * 8x + 3x * 8x) = 3x + -10
(16x + 24x2) = 3x + -10

Reorder the terms:
16x + 24x2 = -10 + 3x

Solving
16x + 24x2 = -10 + 3x

Solving for variable 'x'.

Reorder the terms:
10 + 16x + -3x + 24x2 = -10 + 3x + 10 + -3x

Combine like terms: 16x + -3x = 13x
10 + 13x + 24x2 = -10 + 3x + 10 + -3x

Reorder the terms:
10 + 13x + 24x2 = -10 + 10 + 3x + -3x

Combine like terms: -10 + 10 = 0
10 + 13x + 24x2 = 0 + 3x + -3x
10 + 13x + 24x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 13x + 24x2 = 0

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

Divide each side by '24'.
0.4166666667 + 0.5416666667x + x2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + 0.5416666667x + -0.4166666667 + x2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + 0.5416666667x + x2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + 0.5416666667x + x2 = 0 + -0.4166666667
0.5416666667x + x2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
0.5416666667x + x2 = -0.4166666667

The x term is 0.5416666667x.  Take half its coefficient (0.2708333334).
Square it (0.07335069448) and add it to both sides.

Add '0.07335069448' to each side of the equation.
0.5416666667x + 0.07335069448 + x2 = -0.4166666667 + 0.07335069448

Reorder the terms:
0.07335069448 + 0.5416666667x + x2 = -0.4166666667 + 0.07335069448

Combine like terms: -0.4166666667 + 0.07335069448 = -0.34331597222
0.07335069448 + 0.5416666667x + x2 = -0.34331597222

Factor a perfect square on the left side:
(x + 0.2708333334)(x + 0.2708333334) = -0.34331597222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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