-3x^2+14x-14=

Simple and best practice solution for -3x^2+14x-14= 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= 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 = 0.777777781
5.444444448 + -4.666666667x + x2 = 0.777777781

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = 0.777777781

Calculate the square root of the right side: 0.881917106

Break this problem into two subproblems by setting 
(x + -2.333333334) equal to 0.881917106 and -0.881917106.


Subproblem 1
x + -2.333333334 = 0.881917106

Simplifying
x + -2.333333334 = 0.881917106

Reorder the terms:
-2.333333334 + x = 0.881917106

Solving
-2.333333334 + x = 0.881917106

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 = 0.881917106 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = 0.881917106 + 2.333333334
x = 0.881917106 + 2.333333334

Combine like terms: 0.881917106 + 2.333333334 = 3.21525044
x = 3.21525044

Simplifying
x = 3.21525044


Subproblem 2
x + -2.333333334 = -0.881917106

Simplifying
x + -2.333333334 = -0.881917106

Reorder the terms:
-2.333333334 + x = -0.881917106

Solving
-2.333333334 + x = -0.881917106

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 = -0.881917106 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = -0.881917106 + 2.333333334
x = -0.881917106 + 2.333333334

Combine like terms: -0.881917106 + 2.333333334 = 1.451416228
x = 1.451416228

Simplifying
x = 1.451416228


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.21525044, 1.451416228}

See similar equations:

| 4n^2+76=0 | | 14x^2+6-[2(x^2-6)+8]= | | 3(3+x)=11-6x | | x+99-2=79 | | -50+5x=28+2x | | 15-(6x+5)-(10x-2)= | | 179=c+246 | | -130=5x+5(x-8) | | 2x-40=x+20 | | -(x-4)+2x=-3x-16 | | 2x+4=3x-18 | | 105=7(3x) | | 5n^2+55=0 | | -0.6t=-3 | | 3(1+x)=10-3x | | -x-77=-8x+133 | | 4x=3.5(x+40) | | 8x-175=-7x+65 | | 5(12n+125)=3500 | | 0=-2x-4x+6 | | 7+m=3+m+4 | | -3x-167=-12+67 | | .8+.75x=12 | | 2(c+20)=5(c+1)-7 | | 8.5=3.5+x | | -3x-8+5x=17-3x | | 14a-a=26 | | x-28=34 | | 3y+7+2y+8= | | -9a+-12=4a+-8 | | 2(3.14)+2x= | | 6z-8=8z-3z |

Equations solver categories