-16x^2+120x+5=0

Simple and best practice solution for -16x^2+120x+5=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+120x+5=0 equation: 


Simplifying
-16x2 + 120x + 5 = 0

Reorder the terms:
5 + 120x + -16x2 = 0

Solving
5 + 120x + -16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-0.3125 + -7.5x + x2 = 0

Move the constant term to the right:

Add '0.3125' to each side of the equation.
-0.3125 + -7.5x + 0.3125 + x2 = 0 + 0.3125

Reorder the terms:
-0.3125 + 0.3125 + -7.5x + x2 = 0 + 0.3125

Combine like terms: -0.3125 + 0.3125 = 0.0000
0.0000 + -7.5x + x2 = 0 + 0.3125
-7.5x + x2 = 0 + 0.3125

Combine like terms: 0 + 0.3125 = 0.3125
-7.5x + x2 = 0.3125

The x term is -7.5x.  Take half its coefficient (-3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
-7.5x + 14.0625 + x2 = 0.3125 + 14.0625

Reorder the terms:
14.0625 + -7.5x + x2 = 0.3125 + 14.0625

Combine like terms: 0.3125 + 14.0625 = 14.375
14.0625 + -7.5x + x2 = 14.375

Factor a perfect square on the left side:
(x + -3.75)(x + -3.75) = 14.375

Calculate the square root of the right side: 3.791437722

Break this problem into two subproblems by setting 
(x + -3.75) equal to 3.791437722 and -3.791437722.


Subproblem 1
x + -3.75 = 3.791437722

Simplifying
x + -3.75 = 3.791437722

Reorder the terms:
-3.75 + x = 3.791437722

Solving
-3.75 + x = 3.791437722

Solving for variable 'x'.

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

Add '3.75' to each side of the equation.
-3.75 + 3.75 + x = 3.791437722 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + x = 3.791437722 + 3.75
x = 3.791437722 + 3.75

Combine like terms: 3.791437722 + 3.75 = 7.541437722
x = 7.541437722

Simplifying
x = 7.541437722


Subproblem 2
x + -3.75 = -3.791437722

Simplifying
x + -3.75 = -3.791437722

Reorder the terms:
-3.75 + x = -3.791437722

Solving
-3.75 + x = -3.791437722

Solving for variable 'x'.

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

Add '3.75' to each side of the equation.
-3.75 + 3.75 + x = -3.791437722 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + x = -3.791437722 + 3.75
x = -3.791437722 + 3.75

Combine like terms: -3.791437722 + 3.75 = -0.041437722
x = -0.041437722

Simplifying
x = -0.041437722


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.541437722, -0.041437722}

See similar equations:

| 42x^2-43xy+6y^2= | | .5x+.75y+.875z=190 | | -2x-9sqrt(x)-4=0 | | 0=r^2-13250.9520 | | 2Ln(x+3)=ln(x-2)+1 | | 5b-4-9b-8= | | 5(3+g)-2g=3(g+3)-1have | | 2a+5-6a= | | -32+18X=-30 | | 6c^2+c^2-2=0 | | 9+5y-21y= | | 3b^2-31b=-56 | | A(3)=4+(4+1)(-5) | | 0=r^2-243.36 | | 4(7n+33)+7(n+1)= | | 3d-7=5d+11 | | 5b=21+41 | | 5(9n+31)+7(n+1)= | | Ln(x+3)=ln(x-2)+1 | | x^2+12x+10=-6 | | 41n+145= | | 2x^2-15x=-2 | | y=5/2x-2 | | 30/21 | | 20=-2(3x+8) | | 17=5+2x+2x | | -2x-5x+2=-40 | | -(x+8)=6 | | 9(x-3)=(x+11) | | 4(x+2)+5x-7=118 | | 3a+7a+4=0 | | -21=-3(x-4) |

Equations solver categories