3x^2-17x+1-28=0

Simple and best practice solution for 3x^2-17x+1-28=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^2-17x+1-28=0 equation: 


Simplifying
3x2 + -17x + 1 + -28 = 0

Reorder the terms:
1 + -28 + -17x + 3x2 = 0

Combine like terms: 1 + -28 = -27
-27 + -17x + 3x2 = 0

Solving
-27 + -17x + 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'.
-9 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -5.666666667x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -5.666666667x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5.666666667x + x2 = 0 + 9
-5.666666667x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-5.666666667x + x2 = 9

The x term is -5.666666667x.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667x + 8.027777782 + x2 = 9 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = 9 + 8.027777782

Combine like terms: 9 + 8.027777782 = 17.027777782
8.027777782 + -5.666666667x + x2 = 17.027777782

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = 17.027777782

Calculate the square root of the right side: 4.126472802

Break this problem into two subproblems by setting 
(x + -2.833333334) equal to 4.126472802 and -4.126472802.


Subproblem 1
x + -2.833333334 = 4.126472802

Simplifying
x + -2.833333334 = 4.126472802

Reorder the terms:
-2.833333334 + x = 4.126472802

Solving
-2.833333334 + x = 4.126472802

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = 4.126472802 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = 4.126472802 + 2.833333334
x = 4.126472802 + 2.833333334

Combine like terms: 4.126472802 + 2.833333334 = 6.959806136
x = 6.959806136

Simplifying
x = 6.959806136


Subproblem 2
x + -2.833333334 = -4.126472802

Simplifying
x + -2.833333334 = -4.126472802

Reorder the terms:
-2.833333334 + x = -4.126472802

Solving
-2.833333334 + x = -4.126472802

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = -4.126472802 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = -4.126472802 + 2.833333334
x = -4.126472802 + 2.833333334

Combine like terms: -4.126472802 + 2.833333334 = -1.293139468
x = -1.293139468

Simplifying
x = -1.293139468


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.959806136, -1.293139468}

See similar equations:

| (m+5m+5m)+(3m+4m-5m)= | | 9x+9=6x+24 | | 5x-20=30 | | 3.1q-3.9-5.4q=-3.3-2.1 | | 4(w+1)=-12 | | 0.7+2=0.5(p+6)+0.2(p+1) | | 7c^2+2c+6c^3+3c^2+1=0 | | 8x-5y=16 | | 6x+23=15x-67 | | a+2/1=0 | | 0.8w=24 | | 9h+35=4h | | x=6+3z | | 7x-3(-7x+11)= | | (x-10)(x-1)=0 | | 3.5=1.25+n | | -(3y+4)-(-2y-8)=-2 | | 25=16.5+n | | 25=1605+n | | 3g+2-2g=5 | | -x^2+10x=-18 | | 6y+12x=4salt | | x-6=3(z) | | 7+4y-3=5y+12-2y | | 6y+8=4y-4 | | 16t=-72 | | 5m=-45 | | 11x+28=5x+94 | | 5u+u=42 | | -6(3b+3)+(19b-9)=0 | | (x^2)=144 | | 12x^3+24x^2=0 |

Equations solver categories