x^2+9x-288=0

Simple and best practice solution for x^2+9x-288=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+9x-288=0 equation: 


Simplifying
x2 + 9x + -288 = 0

Reorder the terms:
-288 + 9x + x2 = 0

Solving
-288 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '288' to each side of the equation.
-288 + 9x + 288 + x2 = 0 + 288

Reorder the terms:
-288 + 288 + 9x + x2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 9x + x2 = 0 + 288
9x + x2 = 0 + 288

Combine like terms: 0 + 288 = 288
9x + x2 = 288

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 288 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 288 + 20.25

Combine like terms: 288 + 20.25 = 308.25
20.25 + 9x + x2 = 308.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 308.25

Calculate the square root of the right side: 17.557049866

Break this problem into two subproblems by setting 
(x + 4.5) equal to 17.557049866 and -17.557049866.


Subproblem 1
x + 4.5 = 17.557049866

Simplifying
x + 4.5 = 17.557049866

Reorder the terms:
4.5 + x = 17.557049866

Solving
4.5 + x = 17.557049866

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 17.557049866 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 17.557049866 + -4.5
x = 17.557049866 + -4.5

Combine like terms: 17.557049866 + -4.5 = 13.057049866
x = 13.057049866

Simplifying
x = 13.057049866


Subproblem 2
x + 4.5 = -17.557049866

Simplifying
x + 4.5 = -17.557049866

Reorder the terms:
4.5 + x = -17.557049866

Solving
4.5 + x = -17.557049866

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -17.557049866 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -17.557049866 + -4.5
x = -17.557049866 + -4.5

Combine like terms: -17.557049866 + -4.5 = -22.057049866
x = -22.057049866

Simplifying
x = -22.057049866


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.057049866, -22.057049866}

See similar equations:

| 2-5b=42 | | 3x-23=37 | | 4a*2-5a-3=0 | | ln(x+5)+ln(x+1)=ln(x-1) | | a=8+2.4b | | -13=5(1+4m)-4 | | a*2+3a-1=0 | | 4+7x=123 | | 2000000-80000x=-4200000 | | 8x+17=-15 | | 7y-14x=21 | | 5a-12b=40 | | 2x+37=180 | | a*2+3a-9=0 | | 12xc-7=53 | | (2y-1)(y+9)=20y | | x^2+8=27 | | 65=5+5r | | -4-6x=-22 | | 0.3n-21=42.105 | | 292=f+167 | | a*2+10a+23=0 | | 18j=414 | | 6a+4b=2 | | x^2=x-x | | x^2=300 | | -3-2.5= | | x-11=-x+51 | | 56x+64=0 | | (a-5)*2=4 | | 10b+5=5b | | 7x(2x+3)+(2x+3)= |

Equations solver categories