5(1-3x)+8x(1+4x)=

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Solution for 5(1-3x)+8x(1+4x)= equation:


Simplifying
5(1 + -3x) + 8x(1 + 4x) = 0
(1 * 5 + -3x * 5) + 8x(1 + 4x) = 0
(5 + -15x) + 8x(1 + 4x) = 0
5 + -15x + (1 * 8x + 4x * 8x) = 0
5 + -15x + (8x + 32x2) = 0

Combine like terms: -15x + 8x = -7x
5 + -7x + 32x2 = 0

Solving
5 + -7x + 32x2 = 0

Solving for variable 'x'.

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

Divide each side by '32'.
0.15625 + -0.21875x + x2 = 0

Move the constant term to the right:

Add '-0.15625' to each side of the equation.
0.15625 + -0.21875x + -0.15625 + x2 = 0 + -0.15625

Reorder the terms:
0.15625 + -0.15625 + -0.21875x + x2 = 0 + -0.15625

Combine like terms: 0.15625 + -0.15625 = 0.00000
0.00000 + -0.21875x + x2 = 0 + -0.15625
-0.21875x + x2 = 0 + -0.15625

Combine like terms: 0 + -0.15625 = -0.15625
-0.21875x + x2 = -0.15625

The x term is -0.21875x.  Take half its coefficient (-0.109375).
Square it (0.01196289063) and add it to both sides.

Add '0.01196289063' to each side of the equation.
-0.21875x + 0.01196289063 + x2 = -0.15625 + 0.01196289063

Reorder the terms:
0.01196289063 + -0.21875x + x2 = -0.15625 + 0.01196289063

Combine like terms: -0.15625 + 0.01196289063 = -0.14428710937
0.01196289063 + -0.21875x + x2 = -0.14428710937

Factor a perfect square on the left side:
(x + -0.109375)(x + -0.109375) = -0.14428710937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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