16x^2+160x-336=0

Simple and best practice solution for 16x^2+160x-336=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 16x^2+160x-336=0 equation: 


Simplifying
16x2 + 160x + -336 = 0

Reorder the terms:
-336 + 160x + 16x2 = 0

Solving
-336 + 160x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-21 + 10x + x2) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-21 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
-21 + 10x + x2 = 0

Solving
-21 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '21' to each side of the equation.
-21 + 10x + 21 + x2 = 0 + 21

Reorder the terms:
-21 + 21 + 10x + x2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 10x + x2 = 0 + 21
10x + x2 = 0 + 21

Combine like terms: 0 + 21 = 21
10x + x2 = 21

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 21 + 25

Reorder the terms:
25 + 10x + x2 = 21 + 25

Combine like terms: 21 + 25 = 46
25 + 10x + x2 = 46

Factor a perfect square on the left side:
(x + 5)(x + 5) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + 5) equal to 6.782329983 and -6.782329983.


Subproblem 1
x + 5 = 6.782329983

Simplifying
x + 5 = 6.782329983

Reorder the terms:
5 + x = 6.782329983

Solving
5 + x = 6.782329983

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 6.782329983 + -5

Combine like terms: 5 + -5 = 0
0 + x = 6.782329983 + -5
x = 6.782329983 + -5

Combine like terms: 6.782329983 + -5 = 1.782329983
x = 1.782329983

Simplifying
x = 1.782329983


Subproblem 2
x + 5 = -6.782329983

Simplifying
x + 5 = -6.782329983

Reorder the terms:
5 + x = -6.782329983

Solving
5 + x = -6.782329983

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -6.782329983 + -5

Combine like terms: 5 + -5 = 0
0 + x = -6.782329983 + -5
x = -6.782329983 + -5

Combine like terms: -6.782329983 + -5 = -11.782329983
x = -11.782329983

Simplifying
x = -11.782329983


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.782329983, -11.782329983}
Solution
x = {1.782329983, -11.782329983}

See similar equations:

| -8(-2x-6)=7(5x-1)-2 | | 26h+2=35 | | 8+4x=16-8x | | 8b+16=42 | | 3+8-4y=122 | | 7.6a+15=106.2 | | -6c-(4c-2)-(8c+9)=-187 | | 12m-6= | | -6m=9m+21 | | 4x+8=7x+3 | | f(x)=6x^2+26y-20 | | 2h+7=61 | | -2=-4(3x+3)+13x | | 7w-5=35 | | f(x)=6x^2+26y | | (2a+3)(a+5)=0 | | -3+x=-24 | | 4(-7x+5)+8=3(-9x-1)-2 | | 8x+15y=340 | | 15m-4-9m=-32 | | 10j-9j=2 | | P^2+PC+yp+yc= | | P^2+PC+to+yc= | | 5(4x-1)-5(2x-17)=3(3x+2)-4 | | -12+2w=3w | | 8x^2+44x=0 | | 15=-2+b | | 8.7a+10=105.7 | | 3(j+1)=18 | | (.06*X)+x=10 | | 15m=225z | | 8y+63= |

Equations solver categories