2x^2+14x-20=0

Simple and best practice solution for 2x^2+14x-20=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-20=0 equation: 


Simplifying
2x2 + 14x + -20 = 0

Reorder the terms:
-20 + 14x + 2x2 = 0

Solving
-20 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 7x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
-10 + 7x + x2 = 0

Solving
-10 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 7x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 7x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 7x + x2 = 0 + 10
7x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
7x + x2 = 10

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 = 10 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 10 + 12.25

Combine like terms: 10 + 12.25 = 22.25
12.25 + 7x + x2 = 22.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(x + 3.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
x + 3.5 = 4.716990566

Simplifying
x + 3.5 = 4.716990566

Reorder the terms:
3.5 + x = 4.716990566

Solving
3.5 + x = 4.716990566

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 = 4.716990566 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 4.716990566 + -3.5
x = 4.716990566 + -3.5

Combine like terms: 4.716990566 + -3.5 = 1.216990566
x = 1.216990566

Simplifying
x = 1.216990566


Subproblem 2
x + 3.5 = -4.716990566

Simplifying
x + 3.5 = -4.716990566

Reorder the terms:
3.5 + x = -4.716990566

Solving
3.5 + x = -4.716990566

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 = -4.716990566 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -4.716990566 + -3.5
x = -4.716990566 + -3.5

Combine like terms: -4.716990566 + -3.5 = -8.216990566
x = -8.216990566

Simplifying
x = -8.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.216990566, -8.216990566}
Solution
x = {1.216990566, -8.216990566}

See similar equations:

| 2+6x=-23+6 | | 2(x+y)=2x+y | | -3x-2x-4x=1 | | 8x-10=2x+3 | | 15/6x14/40x24/21 | | 2x-4x+8=6 | | 8+5=-3 | | p+5=-7 | | 4.4=10 | | 7-y=19 | | 4-1/4y=5 | | 4+x+x=20 | | 5x-3/8=x | | 4+x+x=30 | | Z=17-6 | | 7s=16 | | 6m+8n= | | 2z/9-8=5 | | -1+4=-3+18x | | h=h+1 | | 3r+6=40 | | 2(a-20)+2a=5a(a-3)-2 | | m^2-10m+34=0 | | 3(k-3)=k-3 | | 3x-6=6x+11 | | 12x-4y+1=0 | | 9+7x=21+x | | 0.25q+0.05n=3.00 | | x^3-2y^3-3xy^2=0 | | (3x/4)-9=6 | | 6f-8=90 | | 1.7*x=6+(6*.05) |

Equations solver categories