8x(2x+3)-5(2x-3)=

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Solution for 8x(2x+3)-5(2x-3)= equation: 


Simplifying
8x(2x + 3) + -5(2x + -3) = 0

Reorder the terms:
8x(3 + 2x) + -5(2x + -3) = 0
(3 * 8x + 2x * 8x) + -5(2x + -3) = 0
(24x + 16x2) + -5(2x + -3) = 0

Reorder the terms:
24x + 16x2 + -5(-3 + 2x) = 0
24x + 16x2 + (-3 * -5 + 2x * -5) = 0
24x + 16x2 + (15 + -10x) = 0

Reorder the terms:
15 + 24x + -10x + 16x2 = 0

Combine like terms: 24x + -10x = 14x
15 + 14x + 16x2 = 0

Solving
15 + 14x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
0.9375 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-0.9375' to each side of the equation.
0.9375 + 0.875x + -0.9375 + x2 = 0 + -0.9375

Reorder the terms:
0.9375 + -0.9375 + 0.875x + x2 = 0 + -0.9375

Combine like terms: 0.9375 + -0.9375 = 0.0000
0.0000 + 0.875x + x2 = 0 + -0.9375
0.875x + x2 = 0 + -0.9375

Combine like terms: 0 + -0.9375 = -0.9375
0.875x + x2 = -0.9375

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -0.9375 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -0.9375 + 0.19140625

Combine like terms: -0.9375 + 0.19140625 = -0.74609375
0.19140625 + 0.875x + x2 = -0.74609375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -0.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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