13x^2=18x-25

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Solution for 13x^2=18x-25 equation:


Simplifying
13x2 = 18x + -25

Reorder the terms:
13x2 = -25 + 18x

Solving
13x2 = -25 + 18x

Solving for variable 'x'.

Reorder the terms:
25 + -18x + 13x2 = -25 + 18x + 25 + -18x

Reorder the terms:
25 + -18x + 13x2 = -25 + 25 + 18x + -18x

Combine like terms: -25 + 25 = 0
25 + -18x + 13x2 = 0 + 18x + -18x
25 + -18x + 13x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
25 + -18x + 13x2 = 0

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

Divide each side by '13'.
1.923076923 + -1.384615385x + x2 = 0

Move the constant term to the right:

Add '-1.923076923' to each side of the equation.
1.923076923 + -1.384615385x + -1.923076923 + x2 = 0 + -1.923076923

Reorder the terms:
1.923076923 + -1.923076923 + -1.384615385x + x2 = 0 + -1.923076923

Combine like terms: 1.923076923 + -1.923076923 = 0.000000000
0.000000000 + -1.384615385x + x2 = 0 + -1.923076923
-1.384615385x + x2 = 0 + -1.923076923

Combine like terms: 0 + -1.923076923 = -1.923076923
-1.384615385x + x2 = -1.923076923

The x term is -1.384615385x.  Take half its coefficient (-0.6923076925).
Square it (0.4792899411) and add it to both sides.

Add '0.4792899411' to each side of the equation.
-1.384615385x + 0.4792899411 + x2 = -1.923076923 + 0.4792899411

Reorder the terms:
0.4792899411 + -1.384615385x + x2 = -1.923076923 + 0.4792899411

Combine like terms: -1.923076923 + 0.4792899411 = -1.4437869819
0.4792899411 + -1.384615385x + x2 = -1.4437869819

Factor a perfect square on the left side:
(x + -0.6923076925)(x + -0.6923076925) = -1.4437869819

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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