x^2-24-16x=180

Simple and best practice solution for x^2-24-16x=180 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 x^2-24-16x=180 equation: 


Simplifying
x2 + -24 + -16x = 180

Reorder the terms:
-24 + -16x + x2 = 180

Solving
-24 + -16x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-24 + -180 + -16x + x2 = 180 + -180

Combine like terms: -24 + -180 = -204
-204 + -16x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-204 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '204' to each side of the equation.
-204 + -16x + 204 + x2 = 0 + 204

Reorder the terms:
-204 + 204 + -16x + x2 = 0 + 204

Combine like terms: -204 + 204 = 0
0 + -16x + x2 = 0 + 204
-16x + x2 = 0 + 204

Combine like terms: 0 + 204 = 204
-16x + x2 = 204

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 204 + 64

Reorder the terms:
64 + -16x + x2 = 204 + 64

Combine like terms: 204 + 64 = 268
64 + -16x + x2 = 268

Factor a perfect square on the left side:
(x + -8)(x + -8) = 268

Calculate the square root of the right side: 16.370705544

Break this problem into two subproblems by setting 
(x + -8) equal to 16.370705544 and -16.370705544.


Subproblem 1
x + -8 = 16.370705544

Simplifying
x + -8 = 16.370705544

Reorder the terms:
-8 + x = 16.370705544

Solving
-8 + x = 16.370705544

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 16.370705544 + 8

Combine like terms: -8 + 8 = 0
0 + x = 16.370705544 + 8
x = 16.370705544 + 8

Combine like terms: 16.370705544 + 8 = 24.370705544
x = 24.370705544

Simplifying
x = 24.370705544


Subproblem 2
x + -8 = -16.370705544

Simplifying
x + -8 = -16.370705544

Reorder the terms:
-8 + x = -16.370705544

Solving
-8 + x = -16.370705544

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -16.370705544 + 8

Combine like terms: -8 + 8 = 0
0 + x = -16.370705544 + 8
x = -16.370705544 + 8

Combine like terms: -16.370705544 + 8 = -8.370705544
x = -8.370705544

Simplifying
x = -8.370705544


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {24.370705544, -8.370705544}

See similar equations:

| x+2+2x=3x+4x | | 3x-5y=-25 | | (-11/5)a-(3/2)a=(37/5) | | r-6.1=-6.4 | | y=lnx+ln(x+5)+lnc | | 4-2x-6x=-44 | | -2.8=n+1.3 | | 07w+6+4w=27.28 | | 3x-6=-3x-6 | | Y-9=-4y+1 | | 525+.21t=585+.13t | | 3x^4-29x^2+73=0 | | 12(x+2)=(x+16)10 | | 25.05=7.8x+8.9x | | 3b-2=2b+3 | | -3a^2-18a=48 | | -3(2x-7)+4=6x+25 | | 3z-5=4z+17 | | 4(6x-2)=49 | | 1+.1666666667p=2(p-5) | | 8x-(4x+9)=19 | | 13b^2+8ac-ac+4= | | 4(2x-3)-(x+1)= | | x-8=2-11 | | 4.32=5.8m-4.9m | | 500=33(22+B) | | 3(2x+2)+2x-14=x+3 | | 5x^4+4x^2-12=0 | | (x+1)(x+42)= | | 6y^2+2y+6=0 | | 1+1.666666667=2(p-5) | | 3x-3+2x+8=360 |

Equations solver categories