5-5x(-3x-2)+7x=

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Solution for 5-5x(-3x-2)+7x= equation:


Simplifying
5 + -5x(-3x + -2) + 7x = 0

Reorder the terms:
5 + -5x(-2 + -3x) + 7x = 0
5 + (-2 * -5x + -3x * -5x) + 7x = 0
5 + (10x + 15x2) + 7x = 0

Reorder the terms:
5 + 10x + 7x + 15x2 = 0

Combine like terms: 10x + 7x = 17x
5 + 17x + 15x2 = 0

Solving
5 + 17x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.3333333333 + 1.133333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 1.133333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 1.133333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 1.133333333x + x2 = 0 + -0.3333333333
1.133333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
1.133333333x + x2 = -0.3333333333

The x term is 1.133333333x.  Take half its coefficient (0.5666666665).
Square it (0.3211111109) and add it to both sides.

Add '0.3211111109' to each side of the equation.
1.133333333x + 0.3211111109 + x2 = -0.3333333333 + 0.3211111109

Reorder the terms:
0.3211111109 + 1.133333333x + x2 = -0.3333333333 + 0.3211111109

Combine like terms: -0.3333333333 + 0.3211111109 = -0.0122222224
0.3211111109 + 1.133333333x + x2 = -0.0122222224

Factor a perfect square on the left side:
(x + 0.5666666665)(x + 0.5666666665) = -0.0122222224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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