14x^2-84x-126=0

Simple and best practice solution for 14x^2-84x-126=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 14x^2-84x-126=0 equation: 


Simplifying
14x2 + -84x + -126 = 0

Reorder the terms:
-126 + -84x + 14x2 = 0

Solving
-126 + -84x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-9 + -6x + x2) = 0

Ignore the factor 14.

Subproblem 1
Set the factor '(-9 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-9 + -6x + x2 = 0

Solving
-9 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -6x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -6x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -6x + x2 = 0 + 9
-6x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-6x + x2 = 9

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 9 + 9

Reorder the terms:
9 + -6x + x2 = 9 + 9

Combine like terms: 9 + 9 = 18
9 + -6x + x2 = 18

Factor a perfect square on the left side:
(x + -3)(x + -3) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + -3) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + -3 = 4.242640687

Simplifying
x + -3 = 4.242640687

Reorder the terms:
-3 + x = 4.242640687

Solving
-3 + x = 4.242640687

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 4.242640687 + 3

Combine like terms: -3 + 3 = 0
0 + x = 4.242640687 + 3
x = 4.242640687 + 3

Combine like terms: 4.242640687 + 3 = 7.242640687
x = 7.242640687

Simplifying
x = 7.242640687


Subproblem 2
x + -3 = -4.242640687

Simplifying
x + -3 = -4.242640687

Reorder the terms:
-3 + x = -4.242640687

Solving
-3 + x = -4.242640687

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -4.242640687 + 3

Combine like terms: -3 + 3 = 0
0 + x = -4.242640687 + 3
x = -4.242640687 + 3

Combine like terms: -4.242640687 + 3 = -1.242640687
x = -1.242640687

Simplifying
x = -1.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.242640687, -1.242640687}
Solution
x = {7.242640687, -1.242640687}

See similar equations:

| (u-7)*8=24 | | 1/9x^6-81=0 | | 12=56-2*(3*x+4) | | 2u+14=4 | | f(e-a-c)=e(f-b-(1000-c)) | | Y=12x^2-6x | | 4x+(-3+7x)= | | 15=d/-15 | | X(x-2)+2=11-2x | | 45=12-11a | | f(x)=-6/-x-6 | | 2.35-0.5= | | 4n-9=-1 | | 100-2x=38 | | ((2x-3)/(2(2x^2-3x)))=0 | | ((2x-3)/(2(x^2-3x))=0 | | X+x+(2x-5)=25 | | 26x-17y=162 | | ((3(x-4)-(3x-2))/(x-4)^2)=0 | | 6-4x=-6x+6 | | x+(x*.85)+(x*.5)=440.47 | | (5p3/q)^3 | | 9(x-4)/6 | | y=3x^2-x | | n^2-6+-16=0 | | 2(4w+8)3=-5 | | -6(2t+2)=-48 | | 4(f-7)=-52 | | N^2-6n+16=0 | | 10(s-6)=-107 | | -3(t-5)+8t=9t-9 | | 5(2l+10)=140 |

Equations solver categories