-3x(x)=-x+80

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Solution for -3x(x)=-x+80 equation:


Simplifying
-3x(x) = -1x + 80

Multiply x * x
-3x2 = -1x + 80

Reorder the terms:
-3x2 = 80 + -1x

Solving
-3x2 = 80 + -1x

Solving for variable 'x'.

Reorder the terms:
-80 + x + -3x2 = 80 + -1x + -80 + x

Reorder the terms:
-80 + x + -3x2 = 80 + -80 + -1x + x

Combine like terms: 80 + -80 = 0
-80 + x + -3x2 = 0 + -1x + x
-80 + x + -3x2 = -1x + x

Combine like terms: -1x + x = 0
-80 + x + -3x2 = 0

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

Divide each side by '-3'.
26.66666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-26.66666667' to each side of the equation.
26.66666667 + -0.3333333333x + -26.66666667 + x2 = 0 + -26.66666667

Reorder the terms:
26.66666667 + -26.66666667 + -0.3333333333x + x2 = 0 + -26.66666667

Combine like terms: 26.66666667 + -26.66666667 = 0.00000000
0.00000000 + -0.3333333333x + x2 = 0 + -26.66666667
-0.3333333333x + x2 = 0 + -26.66666667

Combine like terms: 0 + -26.66666667 = -26.66666667
-0.3333333333x + x2 = -26.66666667

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -26.66666667 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -26.66666667 + 0.25

Combine like terms: -26.66666667 + 0.25 = -26.41666667
0.25 + -0.3333333333x + x2 = -26.41666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -26.41666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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