2x^2+16x-140=0

Simple and best practice solution for 2x^2+16x-140=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+16x-140=0 equation: 


Simplifying
2x2 + 16x + -140 = 0

Reorder the terms:
-140 + 16x + 2x2 = 0

Solving
-140 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + 8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-70 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
-70 + 8x + x2 = 0

Solving
-70 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 8x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 8x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 8x + x2 = 0 + 70
8x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
8x + x2 = 70

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 = 70 + 16

Reorder the terms:
16 + 8x + x2 = 70 + 16

Combine like terms: 70 + 16 = 86
16 + 8x + x2 = 86

Factor a perfect square on the left side:
(x + 4)(x + 4) = 86

Calculate the square root of the right side: 9.273618495

Break this problem into two subproblems by setting 
(x + 4) equal to 9.273618495 and -9.273618495.


Subproblem 1
x + 4 = 9.273618495

Simplifying
x + 4 = 9.273618495

Reorder the terms:
4 + x = 9.273618495

Solving
4 + x = 9.273618495

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 = 9.273618495 + -4

Combine like terms: 4 + -4 = 0
0 + x = 9.273618495 + -4
x = 9.273618495 + -4

Combine like terms: 9.273618495 + -4 = 5.273618495
x = 5.273618495

Simplifying
x = 5.273618495


Subproblem 2
x + 4 = -9.273618495

Simplifying
x + 4 = -9.273618495

Reorder the terms:
4 + x = -9.273618495

Solving
4 + x = -9.273618495

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 = -9.273618495 + -4

Combine like terms: 4 + -4 = 0
0 + x = -9.273618495 + -4
x = -9.273618495 + -4

Combine like terms: -9.273618495 + -4 = -13.273618495
x = -13.273618495

Simplifying
x = -13.273618495


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.273618495, -13.273618495}
Solution
x = {5.273618495, -13.273618495}

See similar equations:

| 5-3x5+12/6 | | y=-.16t^2+56t | | 2ln(x+1)=6 | | x/y=9/4 | | 2u^2-9u=5 | | 4/y=9/x | | X=26.95+-.11y | | 3X-7/12+X-1/8=2X-3/6 | | 3.236067978=0 | | 26.95=x+.11y | | y+2/y=5/3 | | 0.7x+0.6=4.8 | | 3n=n-3 | | -10/7g=3 | | 11y-14=5y+4 | | 2014-1924= | | 3x=n-14 | | 3x=n-12 | | 68/24320 | | 4(d-4)+2=(d+1) | | 24320/68 | | 52200/72 | | p=9(5)+2 | | 6(x+2)=24+2 | | 3x^2+5*x+2=0 | | 10-x-3x=7x-24 | | x^2+16*x=-64 | | 0=3-3z | | y/3+4=-8 | | 6y+2x=2 | | 17x-12y=3 | | y^2-5*y=-4 |

Equations solver categories