15x^2-25x+12=0

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Solution for 15x^2-25x+12=0 equation:


Simplifying
15x2 + -25x + 12 = 0

Reorder the terms:
12 + -25x + 15x2 = 0

Solving
12 + -25x + 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'.
0.8 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.666666667x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.666666667x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.666666667x + x2 = 0 + -0.8
-1.666666667x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.666666667x + x2 = -0.8

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -0.8 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -0.8 + 0.6944444447

Combine like terms: -0.8 + 0.6944444447 = -0.1055555553
0.6944444447 + -1.666666667x + x2 = -0.1055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.1055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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