x^2+1x-45=0

Simple and best practice solution for x^2+1x-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+1x-45=0 equation: 


Simplifying
x2 + 1x + -45 = 0

Reorder the terms:
-45 + 1x + x2 = 0

Solving
-45 + 1x + 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 + 1x + 45 + x2 = 0 + 45

Reorder the terms:
-45 + 45 + 1x + x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 1x + x2 = 0 + 45
1x + x2 = 0 + 45

Combine like terms: 0 + 45 = 45
1x + x2 = 45

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 45 + 0.25

Reorder the terms:
0.25 + x + x2 = 45 + 0.25

Combine like terms: 45 + 0.25 = 45.25
0.25 + x + x2 = 45.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 45.25

Calculate the square root of the right side: 6.726812024

Break this problem into two subproblems by setting 
(x + 0.5) equal to 6.726812024 and -6.726812024.


Subproblem 1
x + 0.5 = 6.726812024

Simplifying
x + 0.5 = 6.726812024

Reorder the terms:
0.5 + x = 6.726812024

Solving
0.5 + x = 6.726812024

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 6.726812024 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 6.726812024 + -0.5
x = 6.726812024 + -0.5

Combine like terms: 6.726812024 + -0.5 = 6.226812024
x = 6.226812024

Simplifying
x = 6.226812024


Subproblem 2
x + 0.5 = -6.726812024

Simplifying
x + 0.5 = -6.726812024

Reorder the terms:
0.5 + x = -6.726812024

Solving
0.5 + x = -6.726812024

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -6.726812024 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -6.726812024 + -0.5
x = -6.726812024 + -0.5

Combine like terms: -6.726812024 + -0.5 = -7.226812024
x = -7.226812024

Simplifying
x = -7.226812024


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.226812024, -7.226812024}

See similar equations:

| 3k(3K)=0 | | 12-6(-5)+8= | | 10+p=9-2p | | 8u+v+4u+4v= | | P+3=6 | | 17=3c-1 | | 58x+6=9 | | 6m(3m+4)=0 | | 10a+b-8a+16b= | | a^2+4a+4-b^2= | | 5r+s-7r+10s= | | z(2z-7)=0 | | 2+73/67+9=45(568) | | 8-6x+9+3x+4x=1+3*5 | | 2(3x-1)=2x+4x-2 | | 4(x+1)=8(x-2)-4 | | 5x=7x-2(x-8) | | -4+19=3b-8-2b | | 3(2x+4)=30 | | X+4y-22=21 | | 72-5x=22x+24 | | -5x+4x-8x=0 | | 7x-2(3x)=12 | | xy+18=0 | | xy+18=9 | | -15(-15)-6(-15)= | | z-3z+z=-16 | | 5x-2=13+2 | | 8-10x=76-24x | | 3x+37=12x-44 | | 9x+2x=121 | | -102-10x=10x+18 |

Equations solver categories