56=-16x(x+5)

Simple and best practice solution for 56=-16x(x+5) 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 56=-16x(x+5) equation: 


Simplifying
56 = -16x(x + 5)

Reorder the terms:
56 = -16x(5 + x)
56 = (5 * -16x + x * -16x)
56 = (-80x + -16x2)

Solving
56 = -80x + -16x2

Solving for variable 'x'.

Reorder the terms:
56 + 80x + 16x2 = -80x + 80x + -16x2 + 16x2

Combine like terms: -80x + 80x = 0
56 + 80x + 16x2 = 0 + -16x2 + 16x2
56 + 80x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
56 + 80x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(7 + 10x + 2x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(7 + 10x + 2x2)' equal to zero and attempt to solve:

Simplifying
7 + 10x + 2x2 = 0

Solving
7 + 10x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
3.5 + 5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 5x + x2 = 0 + -3.5
5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
5x + x2 = -3.5

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 = -3.5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -3.5 + 6.25

Combine like terms: -3.5 + 6.25 = 2.75
6.25 + 5x + x2 = 2.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 2.75

Calculate the square root of the right side: 1.658312395

Break this problem into two subproblems by setting 
(x + 2.5) equal to 1.658312395 and -1.658312395.


Subproblem 1
x + 2.5 = 1.658312395

Simplifying
x + 2.5 = 1.658312395

Reorder the terms:
2.5 + x = 1.658312395

Solving
2.5 + x = 1.658312395

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 = 1.658312395 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 1.658312395 + -2.5
x = 1.658312395 + -2.5

Combine like terms: 1.658312395 + -2.5 = -0.841687605
x = -0.841687605

Simplifying
x = -0.841687605


Subproblem 2
x + 2.5 = -1.658312395

Simplifying
x + 2.5 = -1.658312395

Reorder the terms:
2.5 + x = -1.658312395

Solving
2.5 + x = -1.658312395

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 = -1.658312395 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -1.658312395 + -2.5
x = -1.658312395 + -2.5

Combine like terms: -1.658312395 + -2.5 = -4.158312395
x = -4.158312395

Simplifying
x = -4.158312395


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.841687605, -4.158312395}
Solution
x = {-0.841687605, -4.158312395}

See similar equations:

| 51=7y | | 5log(x-4)=13 | | 2b+17=73 | | .47=(x-90)/6.4 | | 75-z=43 | | 4p-9=-1 | | z=(x-90)/6.4 | | h+6.7=13 | | 8x+qp=3x | | (2/3x)-8=(1/2x)-4 | | 5(2)=11 | | 7x-9=109 | | 2x^4-7=2x-7 | | 4+x+x+5=25 | | 2r^2-7r+6=10 | | -16x^2+320x+32=0 | | log(1/8)=3 | | 2x+15-x^2=0 | | 3x-2/5=8/5 | | 92-r=28 | | 7x+14=14x-28 | | 4(x+14)=84 | | s^2+52=-11 | | 4/3X-5/9X=4 | | (5x+7)=8x | | 62/2x1 | | 9/10x4 | | 4/3X-5/9=4 | | 46-k=26 | | 153/7=7/3y | | A=15*B | | 62/2•1 |

Equations solver categories