10=-42.24x^2+24x+3

Solution for 10=-42.24x^2+24x+3 equation:

Simplifying
10 = -42.24x2 + 24x + 3

Reorder the terms:
10 = 3 + 24x + -42.24x2

Solving
10 = 3 + 24x + -42.24x2

Solving for variable 'x'.

Combine like terms: 10 + -3 = 7
7 + -24x + 42.24x2 = 3 + 24x + -42.24x2 + -3 + -24x + 42.24x2

Reorder the terms:
7 + -24x + 42.24x2 = 3 + -3 + 24x + -24x + -42.24x2 + 42.24x2

Combine like terms: 3 + -3 = 0
7 + -24x + 42.24x2 = 0 + 24x + -24x + -42.24x2 + 42.24x2
7 + -24x + 42.24x2 = 24x + -24x + -42.24x2 + 42.24x2

Combine like terms: 24x + -24x = 0
7 + -24x + 42.24x2 = 0 + -42.24x2 + 42.24x2
7 + -24x + 42.24x2 = -42.24x2 + 42.24x2

Combine like terms: -42.24x2 + 42.24x2 = 0.00
7 + -24x + 42.24x2 = 0.00

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

Divide each side by '42.24'.
0.165719697 + -0.5681818182x + x2 = 0

Move the constant term to the right:

Add '-0.165719697' to each side of the equation.
0.165719697 + -0.5681818182x + -0.165719697 + x2 = 0 + -0.165719697

Reorder the terms:
0.165719697 + -0.165719697 + -0.5681818182x + x2 = 0 + -0.165719697

Combine like terms: 0.165719697 + -0.165719697 = 0.000000000
0.000000000 + -0.5681818182x + x2 = 0 + -0.165719697
-0.5681818182x + x2 = 0 + -0.165719697

Combine like terms: 0 + -0.165719697 = -0.165719697
-0.5681818182x + x2 = -0.165719697

The x term is -0.5681818182x.  Take half its coefficient (-0.2840909091).
Square it (0.08070764463) and add it to both sides.

Add '0.08070764463' to each side of the equation.
-0.5681818182x + 0.08070764463 + x2 = -0.165719697 + 0.08070764463

Reorder the terms:
0.08070764463 + -0.5681818182x + x2 = -0.165719697 + 0.08070764463

Combine like terms: -0.165719697 + 0.08070764463 = -0.08501205237
0.08070764463 + -0.5681818182x + x2 = -0.08501205237

Factor a perfect square on the left side:
(x + -0.2840909091)(x + -0.2840909091) = -0.08501205237

Can't calculate square root of the right side.

The solution to this equation could not be determined.