2x^2-12x-16=0

Simple and best practice solution for 2x^2-12x-16=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-16=0 equation: 


Simplifying
2x2 + -12x + -16 = 0

Reorder the terms:
-16 + -12x + 2x2 = 0

Solving
-16 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-8 + -6x + x2 = 0

Solving
-8 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -6x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -6x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6x + x2 = 0 + 8
-6x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-6x + x2 = 8

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 = 8 + 9

Reorder the terms:
9 + -6x + x2 = 8 + 9

Combine like terms: 8 + 9 = 17
9 + -6x + x2 = 17

Factor a perfect square on the left side:
(x + -3)(x + -3) = 17

Calculate the square root of the right side: 4.123105626

Break this problem into two subproblems by setting 
(x + -3) equal to 4.123105626 and -4.123105626.


Subproblem 1
x + -3 = 4.123105626

Simplifying
x + -3 = 4.123105626

Reorder the terms:
-3 + x = 4.123105626

Solving
-3 + x = 4.123105626

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 = 4.123105626 + 3

Combine like terms: -3 + 3 = 0
0 + x = 4.123105626 + 3
x = 4.123105626 + 3

Combine like terms: 4.123105626 + 3 = 7.123105626
x = 7.123105626

Simplifying
x = 7.123105626


Subproblem 2
x + -3 = -4.123105626

Simplifying
x + -3 = -4.123105626

Reorder the terms:
-3 + x = -4.123105626

Solving
-3 + x = -4.123105626

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 = -4.123105626 + 3

Combine like terms: -3 + 3 = 0
0 + x = -4.123105626 + 3
x = -4.123105626 + 3

Combine like terms: -4.123105626 + 3 = -1.123105626
x = -1.123105626

Simplifying
x = -1.123105626


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.123105626, -1.123105626}
Solution
x = {7.123105626, -1.123105626}

See similar equations:

| 50(x-1)=40x | | 6y+5=8y+11 | | -(x-2)+3=3-x | | d-2=7 | | a^2+b^2=19 | | 15=-3(2k-4) | | 3x^2+3x+2=0 | | 14x-53-32=73 | | 45w+180=900 | | 6x+10=-46-8x | | -b(-a+2b)+3(2a-b)-a(2a+b)= | | 17+-2=15 | | 4x+7=56-3 | | 3x^2+32x+64=0 | | 172-4x=6x+22 | | 13x+57-44=274 | | 2xy+y+x=1 | | 3x^2+14x-80=0 | | -5.1=x-14.2 | | 23x+37-45x=-149 | | 11-4x=31 | | u^2+5u+6=0 | | 2x+y+x=1 | | 12xy+5ef+4ef-12xy= | | 8b+2b=10 | | 13-w=-7 | | 1=2+6x | | 12ab-12ab= | | 4x+4=-16 | | 26-7x=15.50 | | 2x+9=-3 | | 1+2+3+4+5+6+7+8+9+10= |

Equations solver categories