-5x(2x+1)=-1.11(3x-25)

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Solution for -5x(2x+1)=-1.11(3x-25) equation:


Simplifying
-5x(2x + 1) = -1.11(3x + -25)

Reorder the terms:
-5x(1 + 2x) = -1.11(3x + -25)
(1 * -5x + 2x * -5x) = -1.11(3x + -25)
(-5x + -10x2) = -1.11(3x + -25)

Reorder the terms:
-5x + -10x2 = -1.11(-25 + 3x)
-5x + -10x2 = (-25 * -1.11 + 3x * -1.11)
-5x + -10x2 = (27.75 + -3.33x)

Solving
-5x + -10x2 = 27.75 + -3.33x

Solving for variable 'x'.

Reorder the terms:
-27.75 + -5x + 3.33x + -10x2 = 27.75 + -3.33x + -27.75 + 3.33x

Combine like terms: -5x + 3.33x = -1.67x
-27.75 + -1.67x + -10x2 = 27.75 + -3.33x + -27.75 + 3.33x

Reorder the terms:
-27.75 + -1.67x + -10x2 = 27.75 + -27.75 + -3.33x + 3.33x

Combine like terms: 27.75 + -27.75 = 0.00
-27.75 + -1.67x + -10x2 = 0.00 + -3.33x + 3.33x
-27.75 + -1.67x + -10x2 = -3.33x + 3.33x

Combine like terms: -3.33x + 3.33x = 0.00
-27.75 + -1.67x + -10x2 = 0.00

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
2.775 + 0.167x + x2 = 0.000

Move the constant term to the right:

Add '-2.775' to each side of the equation.
2.775 + 0.167x + -2.775 + x2 = 0.000 + -2.775

Reorder the terms:
2.775 + -2.775 + 0.167x + x2 = 0.000 + -2.775

Combine like terms: 2.775 + -2.775 = 0.000
0.000 + 0.167x + x2 = 0.000 + -2.775
0.167x + x2 = 0.000 + -2.775

Combine like terms: 0.000 + -2.775 = -2.775
0.167x + x2 = -2.775

The x term is 0.167x.  Take half its coefficient (0.0835).
Square it (0.00697225) and add it to both sides.

Add '0.00697225' to each side of the equation.
0.167x + 0.00697225 + x2 = -2.775 + 0.00697225

Reorder the terms:
0.00697225 + 0.167x + x2 = -2.775 + 0.00697225

Combine like terms: -2.775 + 0.00697225 = -2.76802775
0.00697225 + 0.167x + x2 = -2.76802775

Factor a perfect square on the left side:
(x + 0.0835)(x + 0.0835) = -2.76802775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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