3x^2-14x-14=0

Simple and best practice solution for 3x^2-14x-14=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 3x^2-14x-14=0 equation: 


Simplifying
3x2 + -14x + -14 = 0

Reorder the terms:
-14 + -14x + 3x2 = 0

Solving
-14 + -14x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-4.666666667 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '4.666666667' to each side of the equation.
-4.666666667 + -4.666666667x + 4.666666667 + x2 = 0 + 4.666666667

Reorder the terms:
-4.666666667 + 4.666666667 + -4.666666667x + x2 = 0 + 4.666666667

Combine like terms: -4.666666667 + 4.666666667 = 0.000000000
0.000000000 + -4.666666667x + x2 = 0 + 4.666666667
-4.666666667x + x2 = 0 + 4.666666667

Combine like terms: 0 + 4.666666667 = 4.666666667
-4.666666667x + x2 = 4.666666667

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = 4.666666667 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = 4.666666667 + 5.444444448

Combine like terms: 4.666666667 + 5.444444448 = 10.111111115
5.444444448 + -4.666666667x + x2 = 10.111111115

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = 10.111111115

Calculate the square root of the right side: 3.179797339

Break this problem into two subproblems by setting 
(x + -2.333333334) equal to 3.179797339 and -3.179797339.


Subproblem 1
x + -2.333333334 = 3.179797339

Simplifying
x + -2.333333334 = 3.179797339

Reorder the terms:
-2.333333334 + x = 3.179797339

Solving
-2.333333334 + x = 3.179797339

Solving for variable 'x'.

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

Add '2.333333334' to each side of the equation.
-2.333333334 + 2.333333334 + x = 3.179797339 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = 3.179797339 + 2.333333334
x = 3.179797339 + 2.333333334

Combine like terms: 3.179797339 + 2.333333334 = 5.513130673
x = 5.513130673

Simplifying
x = 5.513130673


Subproblem 2
x + -2.333333334 = -3.179797339

Simplifying
x + -2.333333334 = -3.179797339

Reorder the terms:
-2.333333334 + x = -3.179797339

Solving
-2.333333334 + x = -3.179797339

Solving for variable 'x'.

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

Add '2.333333334' to each side of the equation.
-2.333333334 + 2.333333334 + x = -3.179797339 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = -3.179797339 + 2.333333334
x = -3.179797339 + 2.333333334

Combine like terms: -3.179797339 + 2.333333334 = -0.846464005
x = -0.846464005

Simplifying
x = -0.846464005


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.513130673, -0.846464005}

See similar equations:

| 3y=2(5-3(2-y)) | | 1.2y=y+2+1 | | 1.1y=y+2+1 | | (30+2x)(50+2x)=0 | | 1.25y=y+2+1 | | 9(4-8(a-8))=9(8-4a) | | (56-y)y=663 | | -3(x-1)=2(x-4(x-2)+x) | | -3x-2(9+5x)=15-4(2x-4) | | 6(3x-6)-5x=8-2x | | 1/3(9y+6)-(y+8) | | 7(x+2)+x+3=2(4x+5)+7 | | m^2-2n+3n^2-3m+m^2-4n^2+n-m= | | P+25=15 | | 8+4x=11x | | 7+2x=9x | | a*(3a-b)= | | (4x+20)+(3x-15)=180 | | 3*(4a+b)= | | (n-6)*5=35 | | (n+4)*5=35 | | d^2-3d+2d^2-5+d-3-10d+5= | | t=15+3n | | 4u-4=2u+8 | | t=15+7n | | 20x-15=16-4x | | 4u-4=2u-8 | | y=5.4+0.02x | | 4u+4=2u-8 | | 4t-8x+3t= | | 4a^3+9a^3+a^3-5a^3-7a^3-2a^3= | | 4u+4=2u+8 |

Equations solver categories