12x^2-84x-104=0

Simple and best practice solution for 12x^2-84x-104=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^2-84x-104=0 equation: 


Simplifying
12x2 + -84x + -104 = 0

Reorder the terms:
-104 + -84x + 12x2 = 0

Solving
-104 + -84x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-26 + -21x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-26 + -21x + 3x2)' equal to zero and attempt to solve:

Simplifying
-26 + -21x + 3x2 = 0

Solving
-26 + -21x + 3x2 = 0

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

Divide each side by '3'.
-8.666666667 + -7x + x2 = 0

Move the constant term to the right:

Add '8.666666667' to each side of the equation.
-8.666666667 + -7x + 8.666666667 + x2 = 0 + 8.666666667

Reorder the terms:
-8.666666667 + 8.666666667 + -7x + x2 = 0 + 8.666666667

Combine like terms: -8.666666667 + 8.666666667 = 0.000000000
0.000000000 + -7x + x2 = 0 + 8.666666667
-7x + x2 = 0 + 8.666666667

Combine like terms: 0 + 8.666666667 = 8.666666667
-7x + x2 = 8.666666667

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 8.666666667 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 8.666666667 + 12.25

Combine like terms: 8.666666667 + 12.25 = 20.916666667
12.25 + -7x + x2 = 20.916666667

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 20.916666667

Calculate the square root of the right side: 4.573474245

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.573474245 and -4.573474245.


Subproblem 1
x + -3.5 = 4.573474245

Simplifying
x + -3.5 = 4.573474245

Reorder the terms:
-3.5 + x = 4.573474245

Solving
-3.5 + x = 4.573474245

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.573474245 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.573474245 + 3.5
x = 4.573474245 + 3.5

Combine like terms: 4.573474245 + 3.5 = 8.073474245
x = 8.073474245

Simplifying
x = 8.073474245


Subproblem 2
x + -3.5 = -4.573474245

Simplifying
x + -3.5 = -4.573474245

Reorder the terms:
-3.5 + x = -4.573474245

Solving
-3.5 + x = -4.573474245

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.573474245 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.573474245 + 3.5
x = -4.573474245 + 3.5

Combine like terms: -4.573474245 + 3.5 = -1.073474245
x = -1.073474245

Simplifying
x = -1.073474245


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.073474245, -1.073474245}
Solution
x = {8.073474245, -1.073474245}

See similar equations:

| 2x-1+4=0 | | 8-1/3x=1 | | 30=4p+2 | | 15.8(3.14)= | | 4(-2+0.5)-2+8=0 | | 4(-2+0.5)-2y+8=0 | | 4X-4=5X-4 | | 9.77+x=1.50 | | 20=9x+12 | | 48+5y-21=17y-13-4y | | 4n-1/3=5 | | x=p^2+10p-21 | | 2(-2+0.5y)-y+4=0 | | 8x+11y=-22 | | 40=2a-6 | | 1/3-4n=5 | | 2.3x=8.15 | | 85+5x+x=180 | | (4*7)-29+3=0 | | 37=10+9n | | 19/5a | | 3(-2x-8)=3(-8)-2X | | 288=48x | | 0=840-70t | | 3-2/3/5-1/3 | | 5x+1+6x+4+3x-2= | | (4*7)-29+1=0 | | .7x-1=.5x-.7 | | 4x-29+1=0 | | Y^2+8y+19+x^2=-4x | | 9x-3=57 | | 2x+6=66 |

Equations solver categories