2x^2+10x-340=0

Simple and best practice solution for 2x^2+10x-340=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+10x-340=0 equation: 


Simplifying
2x2 + 10x + -340 = 0

Reorder the terms:
-340 + 10x + 2x2 = 0

Solving
-340 + 10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-170 + 5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-170 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-170 + 5x + x2 = 0

Solving
-170 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '170' to each side of the equation.
-170 + 5x + 170 + x2 = 0 + 170

Reorder the terms:
-170 + 170 + 5x + x2 = 0 + 170

Combine like terms: -170 + 170 = 0
0 + 5x + x2 = 0 + 170
5x + x2 = 0 + 170

Combine like terms: 0 + 170 = 170
5x + x2 = 170

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 170 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 170 + 6.25

Combine like terms: 170 + 6.25 = 176.25
6.25 + 5x + x2 = 176.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 176.25

Calculate the square root of the right side: 13.275918047

Break this problem into two subproblems by setting 
(x + 2.5) equal to 13.275918047 and -13.275918047.


Subproblem 1
x + 2.5 = 13.275918047

Simplifying
x + 2.5 = 13.275918047

Reorder the terms:
2.5 + x = 13.275918047

Solving
2.5 + x = 13.275918047

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 13.275918047 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 13.275918047 + -2.5
x = 13.275918047 + -2.5

Combine like terms: 13.275918047 + -2.5 = 10.775918047
x = 10.775918047

Simplifying
x = 10.775918047


Subproblem 2
x + 2.5 = -13.275918047

Simplifying
x + 2.5 = -13.275918047

Reorder the terms:
2.5 + x = -13.275918047

Solving
2.5 + x = -13.275918047

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -13.275918047 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -13.275918047 + -2.5
x = -13.275918047 + -2.5

Combine like terms: -13.275918047 + -2.5 = -15.775918047
x = -15.775918047

Simplifying
x = -15.775918047


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.775918047, -15.775918047}
Solution
x = {10.775918047, -15.775918047}

See similar equations:

| 5(x+6)=8(x+3)+2 | | 46=2y | | 51=3 | | 28=c+(a+2)+(a+2) | | 3(x+7)-2x=28 | | (5-w)(5w-8)=0 | | 180(n-2)=20n*n | | 28=c+(2a+4) | | log(2)(2x-x)=1 | | (x+6)(x+6)=81 | | 3x-2(5x+3)=14-2 | | -17-(-29)= | | (5x-17)-(12x-29)= | | 2m-n=4 | | y=x^3-5x^2-25x+125 | | 9n=m | | x^2+5x-340=0 | | 24X+16Y=188 | | 0=4x^2+8x+125 | | 4x^2-25x+19=-9x+4 | | z+12.1=14 | | (2n+1)+n=16 | | 5X^2*(3Y^3-4x)= | | 7.2+g=9.7 | | x^2+x+1=x^2 | | x+(x+3)=5 | | 3y-5(y-1)=5 | | y+3.4=14 | | -.80(9+2x)=40 | | px^2+3y=15 | | 4a+5a(3a+10)= | | 2h-2=-3h-9 |

Equations solver categories