-5(1-5x)+5x(-8x-2)=-4x-8x

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Solution for -5(1-5x)+5x(-8x-2)=-4x-8x equation:


Simplifying
-5(1 + -5x) + 5x(-8x + -2) = -4x + -8x
(1 * -5 + -5x * -5) + 5x(-8x + -2) = -4x + -8x
(-5 + 25x) + 5x(-8x + -2) = -4x + -8x

Reorder the terms:
-5 + 25x + 5x(-2 + -8x) = -4x + -8x
-5 + 25x + (-2 * 5x + -8x * 5x) = -4x + -8x
-5 + 25x + (-10x + -40x2) = -4x + -8x

Combine like terms: 25x + -10x = 15x
-5 + 15x + -40x2 = -4x + -8x

Combine like terms: -4x + -8x = -12x
-5 + 15x + -40x2 = -12x

Solving
-5 + 15x + -40x2 = -12x

Solving for variable 'x'.

Reorder the terms:
-5 + 15x + 12x + -40x2 = -12x + 12x

Combine like terms: 15x + 12x = 27x
-5 + 27x + -40x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-5 + 27x + -40x2 = 0

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
0.125 + -0.675x + x2 = 0.0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.675x + -0.125 + x2 = 0.0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.675x + x2 = 0.0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.675x + x2 = 0.0 + -0.125
-0.675x + x2 = 0.0 + -0.125

Combine like terms: 0.0 + -0.125 = -0.125
-0.675x + x2 = -0.125

The x term is -0.675x.  Take half its coefficient (-0.3375).
Square it (0.11390625) and add it to both sides.

Add '0.11390625' to each side of the equation.
-0.675x + 0.11390625 + x2 = -0.125 + 0.11390625

Reorder the terms:
0.11390625 + -0.675x + x2 = -0.125 + 0.11390625

Combine like terms: -0.125 + 0.11390625 = -0.01109375
0.11390625 + -0.675x + x2 = -0.01109375

Factor a perfect square on the left side:
(x + -0.3375)(x + -0.3375) = -0.01109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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