2x^2+14x+16=0

Simple and best practice solution for 2x^2+14x+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+14x+16=0 equation: 


Simplifying
2x2 + 14x + 16 = 0

Reorder the terms:
16 + 14x + 2x2 = 0

Solving
16 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 7x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
8 + 7x + x2 = 0

Solving
8 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 7x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 7x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x + x2 = 0 + -8
7x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
7x + x2 = -8

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -8 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -8 + 12.25

Combine like terms: -8 + 12.25 = 4.25
12.25 + 7x + x2 = 4.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + 3.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + 3.5 = 2.061552813

Simplifying
x + 3.5 = 2.061552813

Reorder the terms:
3.5 + x = 2.061552813

Solving
3.5 + x = 2.061552813

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = 2.061552813 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 2.061552813 + -3.5
x = 2.061552813 + -3.5

Combine like terms: 2.061552813 + -3.5 = -1.438447187
x = -1.438447187

Simplifying
x = -1.438447187


Subproblem 2
x + 3.5 = -2.061552813

Simplifying
x + 3.5 = -2.061552813

Reorder the terms:
3.5 + x = -2.061552813

Solving
3.5 + x = -2.061552813

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = -2.061552813 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -2.061552813 + -3.5
x = -2.061552813 + -3.5

Combine like terms: -2.061552813 + -3.5 = -5.561552813
x = -5.561552813

Simplifying
x = -5.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.438447187, -5.561552813}
Solution
x = {-1.438447187, -5.561552813}

See similar equations:

| 12x+10=154 | | 2a+3p=72 | | 3.5*3.5+n=73.5 | | x5=-3/10 | | y-5x=10 | | 7x-11=2(2x+6) | | 28=4(x-2) | | 16=5x+1-2x | | In(x)+In(x-1)=3 | | 8x+5=4x+c | | 3w-5x-y+5w+17x-4y= | | 2(4z-1)=3z+6 | | -.2(15x+6)=.4(-10x-7) | | 14n=-56 | | a+n=s | | 8x-2y+14w-3y-6w+4x= | | 5=7(x+4) | | 2x^2=6y | | -(a+3)=-3(2a+1)-8 | | 6c-(19+13)= | | 5w+7y+4x+8x-12y+3w= | | 3x+4x-5=44 | | 4y+3-3y-6=5y+4 | | 8a+9=12a-3 | | -.1(x-3)=2(.7-.6x) | | N+16=y | | 3-3a=5-2(2a+7) | | x+1=8-13x | | 42m-21=6m-3 | | -(x+2)=-2(4-x) | | V-15=-21 | | 9w+9x-15y+6w+3x+10y= |

Equations solver categories