2X^2+16X+32=14

Simple and best practice solution for 2X^2+16X+32=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 2X^2+16X+32=14 equation: 


Simplifying
2X2 + 16X + 32 = 14

Reorder the terms:
32 + 16X + 2X2 = 14

Solving
32 + 16X + 2X2 = 14

Solving for variable 'X'.

Reorder the terms:
32 + -14 + 16X + 2X2 = 14 + -14

Combine like terms: 32 + -14 = 18
18 + 16X + 2X2 = 14 + -14

Combine like terms: 14 + -14 = 0
18 + 16X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 8X + X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 8X + X2)' equal to zero and attempt to solve:

Simplifying
9 + 8X + X2 = 0

Solving
9 + 8X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 8X + -9 + X2 = 0 + -9

Reorder the terms:
9 + -9 + 8X + X2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8X + X2 = 0 + -9
8X + X2 = 0 + -9

Combine like terms: 0 + -9 = -9
8X + X2 = -9

The X term is 8X.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8X + 16 + X2 = -9 + 16

Reorder the terms:
16 + 8X + X2 = -9 + 16

Combine like terms: -9 + 16 = 7
16 + 8X + X2 = 7

Factor a perfect square on the left side:
(X + 4)(X + 4) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(X + 4) equal to 2.645751311 and -2.645751311.


Subproblem 1
X + 4 = 2.645751311

Simplifying
X + 4 = 2.645751311

Reorder the terms:
4 + X = 2.645751311

Solving
4 + X = 2.645751311

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + X = 2.645751311 + -4

Combine like terms: 4 + -4 = 0
0 + X = 2.645751311 + -4
X = 2.645751311 + -4

Combine like terms: 2.645751311 + -4 = -1.354248689
X = -1.354248689

Simplifying
X = -1.354248689


Subproblem 2
X + 4 = -2.645751311

Simplifying
X + 4 = -2.645751311

Reorder the terms:
4 + X = -2.645751311

Solving
4 + X = -2.645751311

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + X = -2.645751311 + -4

Combine like terms: 4 + -4 = 0
0 + X = -2.645751311 + -4
X = -2.645751311 + -4

Combine like terms: -2.645751311 + -4 = -6.645751311
X = -6.645751311

Simplifying
X = -6.645751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {-1.354248689, -6.645751311}
Solution
X = {-1.354248689, -6.645751311}

See similar equations:

| 2x^2+4x+px+3p=0 | | 96=96t-16t^2 | | 96=96t-17t^2 | | X^2+20X+100=12 | | 6m+14+3(3m+7)= | | 7x=-0.75 | | 7x-5=3(x+2)+2(2x-4) | | x+9(x-4)=6x | | 3m+2(5+m)+5m= | | 3x^2+17x=6 | | 5(m+9)+4+8m= | | 8+5(9+4x)= | | 4+6(7x+7)= | | -5(3x+1)=3(3x-7) | | 5ln(5x)=30 | | -7k+6k=10 | | 3x+(2x+6)5= | | 96=-16t^2+96t | | x^2+2x+1=81 | | 2(2t-5)+t=2-t | | 6(4x+7)+x= | | (7x+2)3+8x= | | 2x^2+3x=81 | | 12+3(8+x)= | | 0.03=3.5c-1.02 | | 0.3=-6 | | 9+5(4x+4)= | | 5z+58=14z+4 | | 3m^2=3-8m | | 1.32+1.5=5.4 | | 3m^2=3-8 | | 7(2+3x)+8= |

Equations solver categories