-5x+26=-3x(x-2)

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Solution for -5x+26=-3x(x-2) equation: 


Simplifying
-5x + 26 = -3x(x + -2)

Reorder the terms:
26 + -5x = -3x(x + -2)

Reorder the terms:
26 + -5x = -3x(-2 + x)
26 + -5x = (-2 * -3x + x * -3x)
26 + -5x = (6x + -3x2)

Solving
26 + -5x = 6x + -3x2

Solving for variable 'x'.

Combine like terms: -5x + -6x = -11x
26 + -11x + 3x2 = 6x + -3x2 + -6x + 3x2

Reorder the terms:
26 + -11x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
26 + -11x + 3x2 = 0 + -3x2 + 3x2
26 + -11x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
26 + -11x + 3x2 = 0

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

Divide each side by '3'.
8.666666667 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -3.666666667x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -3.666666667x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -3.666666667x + x2 = 0 + -8.666666667
-3.666666667x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-3.666666667x + x2 = -8.666666667

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -8.666666667 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -8.666666667 + 3.361111114

Combine like terms: -8.666666667 + 3.361111114 = -5.305555553
3.361111114 + -3.666666667x + x2 = -5.305555553

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -5.305555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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