x^2-32x-45=0

Simple and best practice solution for x^2-32x-45=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 x^2-32x-45=0 equation: 


Simplifying
x2 + -32x + -45 = 0

Reorder the terms:
-45 + -32x + x2 = 0

Solving
-45 + -32x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '45' to each side of the equation.
-45 + -32x + 45 + x2 = 0 + 45

Reorder the terms:
-45 + 45 + -32x + x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -32x + x2 = 0 + 45
-32x + x2 = 0 + 45

Combine like terms: 0 + 45 = 45
-32x + x2 = 45

The x term is -32x.  Take half its coefficient (-16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
-32x + 256 + x2 = 45 + 256

Reorder the terms:
256 + -32x + x2 = 45 + 256

Combine like terms: 45 + 256 = 301
256 + -32x + x2 = 301

Factor a perfect square on the left side:
(x + -16)(x + -16) = 301

Calculate the square root of the right side: 17.349351573

Break this problem into two subproblems by setting 
(x + -16) equal to 17.349351573 and -17.349351573.


Subproblem 1
x + -16 = 17.349351573

Simplifying
x + -16 = 17.349351573

Reorder the terms:
-16 + x = 17.349351573

Solving
-16 + x = 17.349351573

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x = 17.349351573 + 16

Combine like terms: -16 + 16 = 0
0 + x = 17.349351573 + 16
x = 17.349351573 + 16

Combine like terms: 17.349351573 + 16 = 33.349351573
x = 33.349351573

Simplifying
x = 33.349351573


Subproblem 2
x + -16 = -17.349351573

Simplifying
x + -16 = -17.349351573

Reorder the terms:
-16 + x = -17.349351573

Solving
-16 + x = -17.349351573

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x = -17.349351573 + 16

Combine like terms: -16 + 16 = 0
0 + x = -17.349351573 + 16
x = -17.349351573 + 16

Combine like terms: -17.349351573 + 16 = -1.349351573
x = -1.349351573

Simplifying
x = -1.349351573


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {33.349351573, -1.349351573}

See similar equations:

| 7p+1=9-p | | (4w+1)(3+w)=0 | | 7p+7=9p | | x^2-26x-45=0 | | 2x^2-26x-45=0 | | 2x^2-2x-45=0 | | 2x^2-32x-45=0 | | 9x-4x=25 | | 5x+4=4x+9 | | 2(x+5)-(x-2)=4x-4 | | -30x-18=-6(4x+9) | | 23+4x-34=-11 | | -4x+20=12 | | 6w-5-3w=4 | | 2x^2=18x+5 | | 8x+10+2x=6+8x+4 | | -12=-3(m-2) | | -x+4(x-2)=16 | | (3x+4) DX= | | -4x-8=-5x-9 | | 3(m+4)-5=8 | | 18-5y=10+7y | | 15-2x=36-5x | | (8-z)(3z-2)=0 | | 14=8-6r | | 11-m=37-2m | | 18-3x=-3 | | 5=-3(x+2)(x-3) | | t^2=9t-14 | | 9+5a=-(1-3a) | | 23-15y=-28 | | 23-15y=28 |

Equations solver categories