64-80x+12x^2=0

Simple and best practice solution for 64-80x+12x^2=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 64-80x+12x^2=0 equation: 


Simplifying
64 + -80x + 12x2 = 0

Solving
64 + -80x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -20x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(16 + -20x + 3x2)' equal to zero and attempt to solve:

Simplifying
16 + -20x + 3x2 = 0

Solving
16 + -20x + 3x2 = 0

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

Divide each side by '3'.
5.333333333 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -6.666666667x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -6.666666667x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -6.666666667x + x2 = 0 + -5.333333333
-6.666666667x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-6.666666667x + x2 = -5.333333333

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 = -5.333333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -5.333333333 + 11.11111112

Combine like terms: -5.333333333 + 11.11111112 = 5.777777787
11.11111112 + -6.666666667x + x2 = 5.777777787

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = 5.777777787

Calculate the square root of the right side: 2.403700852

Break this problem into two subproblems by setting 
(x + -3.333333334) equal to 2.403700852 and -2.403700852.


Subproblem 1
x + -3.333333334 = 2.403700852

Simplifying
x + -3.333333334 = 2.403700852

Reorder the terms:
-3.333333334 + x = 2.403700852

Solving
-3.333333334 + x = 2.403700852

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 = 2.403700852 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = 2.403700852 + 3.333333334
x = 2.403700852 + 3.333333334

Combine like terms: 2.403700852 + 3.333333334 = 5.737034186
x = 5.737034186

Simplifying
x = 5.737034186


Subproblem 2
x + -3.333333334 = -2.403700852

Simplifying
x + -3.333333334 = -2.403700852

Reorder the terms:
-3.333333334 + x = -2.403700852

Solving
-3.333333334 + x = -2.403700852

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 = -2.403700852 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = -2.403700852 + 3.333333334
x = -2.403700852 + 3.333333334

Combine like terms: -2.403700852 + 3.333333334 = 0.929632482
x = 0.929632482

Simplifying
x = 0.929632482


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.737034186, 0.929632482}
Solution
x = {5.737034186, 0.929632482}

See similar equations:

| (2x-7)(2x+5)=0 | | 5(2x-3)+5=10 | | 17x+65y+45z=158 | | 32x^3/8x^4 | | 3j+5j-j-1=20 | | 5x-13=25 | | 7x-14x*14x=0 | | -1/6(6)=(-1/6*-6)v | | X/7-4=22 | | 5=5.1 | | 3(2x-4)-2=-2(x-5) | | 6(8)-y=9 | | xx/3=w-y | | 12x^2y+87xy-189y=0 | | 2(3n+8)=8 | | (25*x)+(25*x)*.25=25 | | (1/38*38)v=1/38(76) | | x/6=3.4 | | 1/5:1/20=x:1 | | 2cos(1/2x)cosx-2sin(1/2x)sinx=1 | | 5d+2p=18.75 | | 7z+1=22 | | 5t+3=11 | | 17x+16y=611 | | w+6=-7 | | 50=17t | | 8-y=4+2y | | 3v^2-9v^4w/6v^3x^3 | | -(2x+-5y+1)= | | -(2x-5y+1)= | | H(x)=4-3x | | S-3=12 |

Equations solver categories