-12x^2y+23xy+10y=

Simple and best practice solution for -12x^2y+23xy+10y= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -12x^2y+23xy+10y= equation:


Simplifying
-12x2y + 23xy + 10y = 0

Reorder the terms:
23xy + -12x2y + 10y = 0

Solving
23xy + -12x2y + 10y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(23x + -12x2 + 10) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(23x + -12x2 + 10)' equal to zero and attempt to solve:

Simplifying
23x + -12x2 + 10 = 0

Reorder the terms:
10 + 23x + -12x2 = 0

Solving
10 + 23x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
-0.8333333333 + -1.916666667x + x2 = 0

Move the constant term to the right:

Add '0.8333333333' to each side of the equation.
-0.8333333333 + -1.916666667x + 0.8333333333 + x2 = 0 + 0.8333333333

Reorder the terms:
-0.8333333333 + 0.8333333333 + -1.916666667x + x2 = 0 + 0.8333333333

Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000
0.0000000000 + -1.916666667x + x2 = 0 + 0.8333333333
-1.916666667x + x2 = 0 + 0.8333333333

Combine like terms: 0 + 0.8333333333 = 0.8333333333
-1.916666667x + x2 = 0.8333333333

The x term is -1.916666667x.  Take half its coefficient (-0.9583333335).
Square it (0.9184027781) and add it to both sides.

Add '0.9184027781' to each side of the equation.
-1.916666667x + 0.9184027781 + x2 = 0.8333333333 + 0.9184027781

Reorder the terms:
0.9184027781 + -1.916666667x + x2 = 0.8333333333 + 0.9184027781

Combine like terms: 0.8333333333 + 0.9184027781 = 1.7517361114
0.9184027781 + -1.916666667x + x2 = 1.7517361114

Factor a perfect square on the left side:
(x + -0.9583333335)(x + -0.9583333335) = 1.7517361114

Calculate the square root of the right side: 1.323531681

Break this problem into two subproblems by setting 
(x + -0.9583333335) equal to 1.323531681 and -1.323531681.


Subproblem 1
x + -0.9583333335 = 1.323531681

Simplifying
x + -0.9583333335 = 1.323531681

Reorder the terms:
-0.9583333335 + x = 1.323531681

Solving
-0.9583333335 + x = 1.323531681

Solving for variable 'x'.

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

Add '0.9583333335' to each side of the equation.
-0.9583333335 + 0.9583333335 + x = 1.323531681 + 0.9583333335

Combine like terms: -0.9583333335 + 0.9583333335 = 0.0000000000
0.0000000000 + x = 1.323531681 + 0.9583333335
x = 1.323531681 + 0.9583333335

Combine like terms: 1.323531681 + 0.9583333335 = 2.2818650145
x = 2.2818650145

Simplifying
x = 2.2818650145


Subproblem 2
x + -0.9583333335 = -1.323531681

Simplifying
x + -0.9583333335 = -1.323531681

Reorder the terms:
-0.9583333335 + x = -1.323531681

Solving
-0.9583333335 + x = -1.323531681

Solving for variable 'x'.

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

Add '0.9583333335' to each side of the equation.
-0.9583333335 + 0.9583333335 + x = -1.323531681 + 0.9583333335

Combine like terms: -0.9583333335 + 0.9583333335 = 0.0000000000
0.0000000000 + x = -1.323531681 + 0.9583333335
x = -1.323531681 + 0.9583333335

Combine like terms: -1.323531681 + 0.9583333335 = -0.3651983475
x = -0.3651983475

Simplifying
x = -0.3651983475


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.2818650145, -0.3651983475}
Solution
x = {2.2818650145, -0.3651983475}

See similar equations:

| 2(x-.1)+1= | | -2x-5=2x+31 | | y=tan(8x) | | 14-(3+2x)+7x=7(x+2)-(1+x)*3 | | B+1=3-b | | 5p-1=2 | | 8x-5x+3=x-6+9 | | 9x+1=61 | | 20-4x/3=-1x | | -8x+3=5x+2 | | 3+3/2+4=4x-5/2x | | -5/6=-3,2/3 | | -5/6=-3/2/3 | | 120-(3/4)y=60 | | 2(x)ln(x)-x=0 | | x+7=68 | | 6+c=5(c-2) | | 30=48+22x | | -16t^2+35t+9=0 | | -3(t-4)+7t=9t-8 | | 3-1(x+4)=7 | | 625x^4-500x^3+320x-256=0 | | w/2 | | (4x+1)*4-6(2x+1)=-4(x-1) | | 6x+167=14x-9 | | 5*66= | | x-8+12=100 | | 3x+5x=24+32 | | -9+a=a-5 | | 35t^2+2t= | | 4(x-5)-x=1 | | x^2+3x=31 |

Equations solver categories