9x^2-24x+16=-25

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Solution for 9x^2-24x+16=-25 equation: 


Simplifying
9x2 + -24x + 16 = -25

Reorder the terms:
16 + -24x + 9x2 = -25

Solving
16 + -24x + 9x2 = -25

Solving for variable 'x'.

Reorder the terms:
16 + 25 + -24x + 9x2 = -25 + 25

Combine like terms: 16 + 25 = 41
41 + -24x + 9x2 = -25 + 25

Combine like terms: -25 + 25 = 0
41 + -24x + 9x2 = 0

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

Divide each side by '9'.
4.555555556 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-4.555555556' to each side of the equation.
4.555555556 + -2.666666667x + -4.555555556 + x2 = 0 + -4.555555556

Reorder the terms:
4.555555556 + -4.555555556 + -2.666666667x + x2 = 0 + -4.555555556

Combine like terms: 4.555555556 + -4.555555556 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -4.555555556
-2.666666667x + x2 = 0 + -4.555555556

Combine like terms: 0 + -4.555555556 = -4.555555556
-2.666666667x + x2 = -4.555555556

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -4.555555556 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -4.555555556 + 1.777777780

Combine like terms: -4.555555556 + 1.777777780 = -2.777777776
1.777777780 + -2.666666667x + x2 = -2.777777776

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -2.777777776

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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