3x^2-15x+2x-13=0

Simple and best practice solution for 3x^2-15x+2x-13=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^2-15x+2x-13=0 equation:


Simplifying
3x2 + -15x + 2x + -13 = 0

Reorder the terms:
-13 + -15x + 2x + 3x2 = 0

Combine like terms: -15x + 2x = -13x
-13 + -13x + 3x2 = 0

Solving
-13 + -13x + 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'.
-4.333333333 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '4.333333333' to each side of the equation.
-4.333333333 + -4.333333333x + 4.333333333 + x2 = 0 + 4.333333333

Reorder the terms:
-4.333333333 + 4.333333333 + -4.333333333x + x2 = 0 + 4.333333333

Combine like terms: -4.333333333 + 4.333333333 = 0.000000000
0.000000000 + -4.333333333x + x2 = 0 + 4.333333333
-4.333333333x + x2 = 0 + 4.333333333

Combine like terms: 0 + 4.333333333 = 4.333333333
-4.333333333x + x2 = 4.333333333

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = 4.333333333 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = 4.333333333 + 4.694444446

Combine like terms: 4.333333333 + 4.694444446 = 9.027777779
4.694444446 + -4.333333333x + x2 = 9.027777779

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = 9.027777779

Calculate the square root of the right side: 3.004626063

Break this problem into two subproblems by setting 
(x + -2.166666667) equal to 3.004626063 and -3.004626063.


Subproblem 1
x + -2.166666667 = 3.004626063

Simplifying
x + -2.166666667 = 3.004626063

Reorder the terms:
-2.166666667 + x = 3.004626063

Solving
-2.166666667 + x = 3.004626063

Solving for variable 'x'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + x = 3.004626063 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + x = 3.004626063 + 2.166666667
x = 3.004626063 + 2.166666667

Combine like terms: 3.004626063 + 2.166666667 = 5.17129273
x = 5.17129273

Simplifying
x = 5.17129273


Subproblem 2
x + -2.166666667 = -3.004626063

Simplifying
x + -2.166666667 = -3.004626063

Reorder the terms:
-2.166666667 + x = -3.004626063

Solving
-2.166666667 + x = -3.004626063

Solving for variable 'x'.

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

Add '2.166666667' to each side of the equation.
-2.166666667 + 2.166666667 + x = -3.004626063 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + x = -3.004626063 + 2.166666667
x = -3.004626063 + 2.166666667

Combine like terms: -3.004626063 + 2.166666667 = -0.837959396
x = -0.837959396

Simplifying
x = -0.837959396


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.17129273, -0.837959396}

See similar equations:

| 2(1+5x)+4=66 | | 2j+2=8 | | 4x-12+3x=3+7x-14 | | y=-(-5)-7 | | 32LW=V | | 8x-7x=19 | | 88=4+6(4k+6) | | 4b+18=8b-36 | | 6x=-53 | | 528=(346+2x)/6 | | a+1/3a+b-2/5b | | -80=-5(4-6p) | | 8-2m=4 | | 10-3p=4 | | 2(t-4)+6t=4(2t+4)-10 | | 3(4x+4)-39=7x-2 | | -3-5(1-4a)=72 | | 11r+16=5 | | -2(5s-4)-8=-3(6s+3)-3 | | x^2-x=-22 | | 2+4w=10 | | Y-2/5=8/5 | | x(125+x)=0 | | (9b-5)-4(2b+1)=-6 | | -1/6(x-18)+1/2(x+2)=x+16 | | 2f+12=4 | | -3=9+f | | 2w^2-10w-48=0 | | x^3+2x+2x+4=0 | | 25x^2+7=0 | | w-16=4.8 | | 3x+19+5x+9=180 |

Equations solver categories