0=3x^2-26x+70

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Solution for 0=3x^2-26x+70 equation:


Simplifying
0 = 3x2 + -26x + 70

Reorder the terms:
0 = 70 + -26x + 3x2

Solving
0 = 70 + -26x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -70 = -70
-70 + 26x + -3x2 = 70 + -26x + 3x2 + -70 + 26x + -3x2

Reorder the terms:
-70 + 26x + -3x2 = 70 + -70 + -26x + 26x + 3x2 + -3x2

Combine like terms: 70 + -70 = 0
-70 + 26x + -3x2 = 0 + -26x + 26x + 3x2 + -3x2
-70 + 26x + -3x2 = -26x + 26x + 3x2 + -3x2

Combine like terms: -26x + 26x = 0
-70 + 26x + -3x2 = 0 + 3x2 + -3x2
-70 + 26x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-70 + 26x + -3x2 = 0

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

Divide each side by '-3'.
23.33333333 + -8.666666667x + x2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -8.666666667x + -23.33333333 + x2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -8.666666667x + x2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -8.666666667x + x2 = 0 + -23.33333333
-8.666666667x + x2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-8.666666667x + x2 = -23.33333333

The x term is -8.666666667x.  Take half its coefficient (-4.333333334).
Square it (18.77777778) and add it to both sides.

Add '18.77777778' to each side of the equation.
-8.666666667x + 18.77777778 + x2 = -23.33333333 + 18.77777778

Reorder the terms:
18.77777778 + -8.666666667x + x2 = -23.33333333 + 18.77777778

Combine like terms: -23.33333333 + 18.77777778 = -4.55555555
18.77777778 + -8.666666667x + x2 = -4.55555555

Factor a perfect square on the left side:
(x + -4.333333334)(x + -4.333333334) = -4.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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