-0.3x^2+1.75x+1.25=0

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Solution for -0.3x^2+1.75x+1.25=0 equation: 


Simplifying
-0.3x2 + 1.75x + 1.25 = 0

Reorder the terms:
1.25 + 1.75x + -0.3x2 = 0

Solving
1.25 + 1.75x + -0.3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.3 the coefficient of the squared term: 

Divide each side by '-0.3'.
-4.166666667 + -5.833333333x + x2 = 0

Move the constant term to the right:

Add '4.166666667' to each side of the equation.
-4.166666667 + -5.833333333x + 4.166666667 + x2 = 0 + 4.166666667

Reorder the terms:
-4.166666667 + 4.166666667 + -5.833333333x + x2 = 0 + 4.166666667

Combine like terms: -4.166666667 + 4.166666667 = 0.000000000
0.000000000 + -5.833333333x + x2 = 0 + 4.166666667
-5.833333333x + x2 = 0 + 4.166666667

Combine like terms: 0 + 4.166666667 = 4.166666667
-5.833333333x + x2 = 4.166666667

The x term is -5.833333333x.  Take half its coefficient (-2.916666667).
Square it (8.506944446) and add it to both sides.

Add '8.506944446' to each side of the equation.
-5.833333333x + 8.506944446 + x2 = 4.166666667 + 8.506944446

Reorder the terms:
8.506944446 + -5.833333333x + x2 = 4.166666667 + 8.506944446

Combine like terms: 4.166666667 + 8.506944446 = 12.673611113
8.506944446 + -5.833333333x + x2 = 12.673611113

Factor a perfect square on the left side:
(x + -2.916666667)(x + -2.916666667) = 12.673611113

Calculate the square root of the right side: 3.560001561

Break this problem into two subproblems by setting 
(x + -2.916666667) equal to 3.560001561 and -3.560001561.


Subproblem 1
x + -2.916666667 = 3.560001561

Simplifying
x + -2.916666667 = 3.560001561

Reorder the terms:
-2.916666667 + x = 3.560001561

Solving
-2.916666667 + x = 3.560001561

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.916666667' to each side of the equation.
-2.916666667 + 2.916666667 + x = 3.560001561 + 2.916666667

Combine like terms: -2.916666667 + 2.916666667 = 0.000000000
0.000000000 + x = 3.560001561 + 2.916666667
x = 3.560001561 + 2.916666667

Combine like terms: 3.560001561 + 2.916666667 = 6.476668228
x = 6.476668228

Simplifying
x = 6.476668228


Subproblem 2
x + -2.916666667 = -3.560001561

Simplifying
x + -2.916666667 = -3.560001561

Reorder the terms:
-2.916666667 + x = -3.560001561

Solving
-2.916666667 + x = -3.560001561

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.916666667' to each side of the equation.
-2.916666667 + 2.916666667 + x = -3.560001561 + 2.916666667

Combine like terms: -2.916666667 + 2.916666667 = 0.000000000
0.000000000 + x = -3.560001561 + 2.916666667
x = -3.560001561 + 2.916666667

Combine like terms: -3.560001561 + 2.916666667 = -0.643334894
x = -0.643334894

Simplifying
x = -0.643334894


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.476668228, -0.643334894}

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