15x^2-7x+10=0

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Solution for 15x^2-7x+10=0 equation: 


Simplifying
15x2 + -7x + 10 = 0

Reorder the terms:
10 + -7x + 15x2 = 0

Solving
10 + -7x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.6666666667 + -0.4666666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.4666666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.4666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.4666666667x + x2 = 0 + -0.6666666667
-0.4666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.4666666667x + x2 = -0.6666666667

The x term is -0.4666666667x.  Take half its coefficient (-0.2333333334).
Square it (0.05444444448) and add it to both sides.

Add '0.05444444448' to each side of the equation.
-0.4666666667x + 0.05444444448 + x2 = -0.6666666667 + 0.05444444448

Reorder the terms:
0.05444444448 + -0.4666666667x + x2 = -0.6666666667 + 0.05444444448

Combine like terms: -0.6666666667 + 0.05444444448 = -0.61222222222
0.05444444448 + -0.4666666667x + x2 = -0.61222222222

Factor a perfect square on the left side:
(x + -0.2333333334)(x + -0.2333333334) = -0.61222222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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