6x^2+15=10x

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Solution for 6x^2+15=10x equation:


Simplifying
6x2 + 15 = 10x

Reorder the terms:
15 + 6x2 = 10x

Solving
15 + 6x2 = 10x

Solving for variable 'x'.

Reorder the terms:
15 + -10x + 6x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -10x + 6x2 = 0

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

Divide each side by '6'.
2.5 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.666666667x + x2 = 0 + -2.5
-1.666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.666666667x + x2 = -2.5

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 = -2.5 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -2.5 + 0.6944444447

Combine like terms: -2.5 + 0.6944444447 = -1.8055555553
0.6944444447 + -1.666666667x + x2 = -1.8055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -1.8055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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