12x^2-80x+91=0

Simple and best practice solution for 12x^2-80x+91=0 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^2-80x+91=0 equation: 


Simplifying
12x2 + -80x + 91 = 0

Reorder the terms:
91 + -80x + 12x2 = 0

Solving
91 + -80x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
7.583333333 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-7.583333333' to each side of the equation.
7.583333333 + -6.666666667x + -7.583333333 + x2 = 0 + -7.583333333

Reorder the terms:
7.583333333 + -7.583333333 + -6.666666667x + x2 = 0 + -7.583333333

Combine like terms: 7.583333333 + -7.583333333 = 0.000000000
0.000000000 + -6.666666667x + x2 = 0 + -7.583333333
-6.666666667x + x2 = 0 + -7.583333333

Combine like terms: 0 + -7.583333333 = -7.583333333
-6.666666667x + x2 = -7.583333333

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -7.583333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -7.583333333 + 11.11111112

Combine like terms: -7.583333333 + 11.11111112 = 3.527777787
11.11111112 + -6.666666667x + x2 = 3.527777787

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = 3.527777787

Calculate the square root of the right side: 1.878237947

Break this problem into two subproblems by setting 
(x + -3.333333334) equal to 1.878237947 and -1.878237947.


Subproblem 1
x + -3.333333334 = 1.878237947

Simplifying
x + -3.333333334 = 1.878237947

Reorder the terms:
-3.333333334 + x = 1.878237947

Solving
-3.333333334 + x = 1.878237947

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x = 1.878237947 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = 1.878237947 + 3.333333334
x = 1.878237947 + 3.333333334

Combine like terms: 1.878237947 + 3.333333334 = 5.211571281
x = 5.211571281

Simplifying
x = 5.211571281


Subproblem 2
x + -3.333333334 = -1.878237947

Simplifying
x + -3.333333334 = -1.878237947

Reorder the terms:
-3.333333334 + x = -1.878237947

Solving
-3.333333334 + x = -1.878237947

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x = -1.878237947 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = -1.878237947 + 3.333333334
x = -1.878237947 + 3.333333334

Combine like terms: -1.878237947 + 3.333333334 = 1.455095387
x = 1.455095387

Simplifying
x = 1.455095387


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.211571281, 1.455095387}

See similar equations:

| 14=5+u | | 0=a^2-100 | | 6(m-5)=4m+4 | | 6.5+2.5x=11 | | -9-(-4)=3 | | h=-16t^2+64t+190 | | 4a+1=3 | | 6x+(5x-7)+(2f^2+2)+x=5x^2+19x+11 | | -24x+18=-24x-18 | | 36=121x^2 | | 4y^2+37y+40=0 | | -42=14406+(4-1)d | | 2(5x-2y+1)-2(3y+2x)= | | 4y^2-31y-45=0 | | 6(2n-4)=(8n-2)-1 | | 8a+6*9a+10=304 | | 4x-26=3x+13 | | a*5=a*14406+(5-1)*-3600.25 | | 8y+10=-54 | | -5(x+7)-41=2-48 | | 88=2x-22 | | -8x=19-(-5) | | 5=14406+(5-1)d | | C=38.72+0.50x | | 3x-6y=16 | | 4e^2+5e(2e+9)= | | 9m+14m=2m | | X^2-20x+70=10995 | | 3x+y=5+5x | | 9+2.7t=-408t-6 | | 15-(-2)= | | 4r-6r+8+r= |

Equations solver categories