2x^2+14x+18=0

Simple and best practice solution for 2x^2+14x+18=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+18=0 equation: 


Simplifying
2x2 + 14x + 18 = 0

Reorder the terms:
18 + 14x + 2x2 = 0

Solving
18 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 7x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
9 + 7x + x2 = 0

Solving
9 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 7x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 7x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x + x2 = 0 + -9
7x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
7x + x2 = -9

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 = -9 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -9 + 12.25

Combine like terms: -9 + 12.25 = 3.25
12.25 + 7x + x2 = 3.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 3.25

Calculate the square root of the right side: 1.802775638

Break this problem into two subproblems by setting 
(x + 3.5) equal to 1.802775638 and -1.802775638.


Subproblem 1
x + 3.5 = 1.802775638

Simplifying
x + 3.5 = 1.802775638

Reorder the terms:
3.5 + x = 1.802775638

Solving
3.5 + x = 1.802775638

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 = 1.802775638 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 1.802775638 + -3.5
x = 1.802775638 + -3.5

Combine like terms: 1.802775638 + -3.5 = -1.697224362
x = -1.697224362

Simplifying
x = -1.697224362


Subproblem 2
x + 3.5 = -1.802775638

Simplifying
x + 3.5 = -1.802775638

Reorder the terms:
3.5 + x = -1.802775638

Solving
3.5 + x = -1.802775638

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 = -1.802775638 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -1.802775638 + -3.5
x = -1.802775638 + -3.5

Combine like terms: -1.802775638 + -3.5 = -5.302775638
x = -5.302775638

Simplifying
x = -5.302775638


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.697224362, -5.302775638}
Solution
x = {-1.697224362, -5.302775638}

See similar equations:

| 15+3x=180 | | y-1=-7 | | 3(2x-4)=20-2x | | 15x-2=9x+94 | | -6(-3)+-1= | | 2x+1.5x+x=.09 | | x/2+x/5=7 | | 3x^2+12x=8 | | 5x-6=-9+8x | | 4-(-7-k)=2(k+3) | | A^2B-5A^2-25B+125=0 | | x/3=2/5 | | -5n^2-26n+48=0 | | -2(4-3x)4=4(x+2) | | 60=2x-15 | | 4w+8(1+w)= | | 5-4x-x-3-8x= | | (k/3)+7=-20 | | 6*2-0.5b= | | a+4.9=4.1 | | 5x^2-21x-54=0 | | 3(y-1)=6(y+3) | | 4x/5-5x/2=2 | | -4(5+3x)=52 | | 9X^2=-6X+1 | | -7n-7n=-14 | | 13-b*4= | | -3(2n-8)=8(n+4)+6n | | -10+7p+10=18 | | -m/8=5/8 | | a^2(b-5)-25(b-5)=0 | | -5n^2-26n+40=0 |

Equations solver categories