2x^2-12x-28=0

Simple and best practice solution for 2x^2-12x-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 2x^2-12x-28=0 equation: 


Simplifying
2x2 + -12x + -28 = 0

Reorder the terms:
-28 + -12x + 2x2 = 0

Solving
-28 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-14 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-14 + -6x + x2 = 0

Solving
-14 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -6x + 14 + x2 = 0 + 14

Reorder the terms:
-14 + 14 + -6x + x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -6x + x2 = 0 + 14
-6x + x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-6x + x2 = 14

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 = 14 + 9

Reorder the terms:
9 + -6x + x2 = 14 + 9

Combine like terms: 14 + 9 = 23
9 + -6x + x2 = 23

Factor a perfect square on the left side:
(x + -3)(x + -3) = 23

Calculate the square root of the right side: 4.795831523

Break this problem into two subproblems by setting 
(x + -3) equal to 4.795831523 and -4.795831523.


Subproblem 1
x + -3 = 4.795831523

Simplifying
x + -3 = 4.795831523

Reorder the terms:
-3 + x = 4.795831523

Solving
-3 + x = 4.795831523

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 = 4.795831523 + 3

Combine like terms: -3 + 3 = 0
0 + x = 4.795831523 + 3
x = 4.795831523 + 3

Combine like terms: 4.795831523 + 3 = 7.795831523
x = 7.795831523

Simplifying
x = 7.795831523


Subproblem 2
x + -3 = -4.795831523

Simplifying
x + -3 = -4.795831523

Reorder the terms:
-3 + x = -4.795831523

Solving
-3 + x = -4.795831523

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 = -4.795831523 + 3

Combine like terms: -3 + 3 = 0
0 + x = -4.795831523 + 3
x = -4.795831523 + 3

Combine like terms: -4.795831523 + 3 = -1.795831523
x = -1.795831523

Simplifying
x = -1.795831523


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.795831523, -1.795831523}
Solution
x = {7.795831523, -1.795831523}

See similar equations:

| -7x+4=-28 | | x/2+23=-3 | | 1x^2=15x | | 28-9x=-8 | | x-1.39=4.5 | | -2(4)+9= | | 4(2r+8)= | | 6.4+x=8.5 | | -7+4y=-28 | | 1x^2=20x | | 5(4)-12= | | 3/-1 | | 10(4)+2= | | 4x^2-32x+63= | | 5x+20=-5 | | 4m-2= | | 24=a-13 | | (x-4)2=2x | | -2/1 | | 12y-4+3y-9= | | -63x^2+62x+40= | | 12=3y-24 | | x-13=8.5 | | 5(3)-3y=-15 | | x/2+x/4=12 | | -3m^2n^3(8mn^4)= | | 2x/8=3y | | -5+9a=-77 | | (3x+4-5x)/2=8x-16 | | 5(x-3)+7=42 | | 2a-6+8a+2= | | (6)=5x^4-10x^3-3x^2+10x-6 |

Equations solver categories