130x^2-7x+5=0

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Solution for 130x^2-7x+5=0 equation:


Simplifying
130x2 + -7x + 5 = 0

Reorder the terms:
5 + -7x + 130x2 = 0

Solving
5 + -7x + 130x2 = 0

Solving for variable 'x'.

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

Divide each side by '130'.
0.03846153846 + -0.05384615385x + x2 = 0

Move the constant term to the right:

Add '-0.03846153846' to each side of the equation.
0.03846153846 + -0.05384615385x + -0.03846153846 + x2 = 0 + -0.03846153846

Reorder the terms:
0.03846153846 + -0.03846153846 + -0.05384615385x + x2 = 0 + -0.03846153846

Combine like terms: 0.03846153846 + -0.03846153846 = 0.00000000000
0.00000000000 + -0.05384615385x + x2 = 0 + -0.03846153846
-0.05384615385x + x2 = 0 + -0.03846153846

Combine like terms: 0 + -0.03846153846 = -0.03846153846
-0.05384615385x + x2 = -0.03846153846

The x term is -0.05384615385x.  Take half its coefficient (-0.02692307693).
Square it (0.0007248520714) and add it to both sides.

Add '0.0007248520714' to each side of the equation.
-0.05384615385x + 0.0007248520714 + x2 = -0.03846153846 + 0.0007248520714

Reorder the terms:
0.0007248520714 + -0.05384615385x + x2 = -0.03846153846 + 0.0007248520714

Combine like terms: -0.03846153846 + 0.0007248520714 = -0.0377366863886
0.0007248520714 + -0.05384615385x + x2 = -0.0377366863886

Factor a perfect square on the left side:
(x + -0.02692307693)(x + -0.02692307693) = -0.0377366863886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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