10+24x^2-16x=3

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Solution for 10+24x^2-16x=3 equation: 


Simplifying
10 + 24x2 + -16x = 3

Reorder the terms:
10 + -16x + 24x2 = 3

Solving
10 + -16x + 24x2 = 3

Solving for variable 'x'.

Reorder the terms:
10 + -3 + -16x + 24x2 = 3 + -3

Combine like terms: 10 + -3 = 7
7 + -16x + 24x2 = 3 + -3

Combine like terms: 3 + -3 = 0
7 + -16x + 24x2 = 0

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

Divide each side by '24'.
0.2916666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2916666667' to each side of the equation.
0.2916666667 + -0.6666666667x + -0.2916666667 + x2 = 0 + -0.2916666667

Reorder the terms:
0.2916666667 + -0.2916666667 + -0.6666666667x + x2 = 0 + -0.2916666667

Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.2916666667
-0.6666666667x + x2 = 0 + -0.2916666667

Combine like terms: 0 + -0.2916666667 = -0.2916666667
-0.6666666667x + x2 = -0.2916666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.2916666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.2916666667 + 0.1111111112

Combine like terms: -0.2916666667 + 0.1111111112 = -0.1805555555
0.1111111112 + -0.6666666667x + x2 = -0.1805555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.1805555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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