8x(2x+3)=7x-38

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Solution for 8x(2x+3)=7x-38 equation: 


Simplifying
8x(2x + 3) = 7x + -38

Reorder the terms:
8x(3 + 2x) = 7x + -38
(3 * 8x + 2x * 8x) = 7x + -38
(24x + 16x2) = 7x + -38

Reorder the terms:
24x + 16x2 = -38 + 7x

Solving
24x + 16x2 = -38 + 7x

Solving for variable 'x'.

Reorder the terms:
38 + 24x + -7x + 16x2 = -38 + 7x + 38 + -7x

Combine like terms: 24x + -7x = 17x
38 + 17x + 16x2 = -38 + 7x + 38 + -7x

Reorder the terms:
38 + 17x + 16x2 = -38 + 38 + 7x + -7x

Combine like terms: -38 + 38 = 0
38 + 17x + 16x2 = 0 + 7x + -7x
38 + 17x + 16x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
38 + 17x + 16x2 = 0

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

Divide each side by '16'.
2.375 + 1.0625x + x2 = 0

Move the constant term to the right:

Add '-2.375' to each side of the equation.
2.375 + 1.0625x + -2.375 + x2 = 0 + -2.375

Reorder the terms:
2.375 + -2.375 + 1.0625x + x2 = 0 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + 1.0625x + x2 = 0 + -2.375
1.0625x + x2 = 0 + -2.375

Combine like terms: 0 + -2.375 = -2.375
1.0625x + x2 = -2.375

The x term is 1.0625x.  Take half its coefficient (0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
1.0625x + 0.2822265625 + x2 = -2.375 + 0.2822265625

Reorder the terms:
0.2822265625 + 1.0625x + x2 = -2.375 + 0.2822265625

Combine like terms: -2.375 + 0.2822265625 = -2.0927734375
0.2822265625 + 1.0625x + x2 = -2.0927734375

Factor a perfect square on the left side:
(x + 0.53125)(x + 0.53125) = -2.0927734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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