9x^2-51x-240=0

Simple and best practice solution for 9x^2-51x-240=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 9x^2-51x-240=0 equation: 


Simplifying
9x2 + -51x + -240 = 0

Reorder the terms:
-240 + -51x + 9x2 = 0

Solving
-240 + -51x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-80 + -17x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-80 + -17x + 3x2)' equal to zero and attempt to solve:

Simplifying
-80 + -17x + 3x2 = 0

Solving
-80 + -17x + 3x2 = 0

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

Divide each side by '3'.
-26.66666667 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '26.66666667' to each side of the equation.
-26.66666667 + -5.666666667x + 26.66666667 + x2 = 0 + 26.66666667

Reorder the terms:
-26.66666667 + 26.66666667 + -5.666666667x + x2 = 0 + 26.66666667

Combine like terms: -26.66666667 + 26.66666667 = 0.00000000
0.00000000 + -5.666666667x + x2 = 0 + 26.66666667
-5.666666667x + x2 = 0 + 26.66666667

Combine like terms: 0 + 26.66666667 = 26.66666667
-5.666666667x + x2 = 26.66666667

The x term is -5.666666667x.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667x + 8.027777782 + x2 = 26.66666667 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = 26.66666667 + 8.027777782

Combine like terms: 26.66666667 + 8.027777782 = 34.694444452
8.027777782 + -5.666666667x + x2 = 34.694444452

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = 34.694444452

Calculate the square root of the right side: 5.890199016

Break this problem into two subproblems by setting 
(x + -2.833333334) equal to 5.890199016 and -5.890199016.


Subproblem 1
x + -2.833333334 = 5.890199016

Simplifying
x + -2.833333334 = 5.890199016

Reorder the terms:
-2.833333334 + x = 5.890199016

Solving
-2.833333334 + x = 5.890199016

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = 5.890199016 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = 5.890199016 + 2.833333334
x = 5.890199016 + 2.833333334

Combine like terms: 5.890199016 + 2.833333334 = 8.72353235
x = 8.72353235

Simplifying
x = 8.72353235


Subproblem 2
x + -2.833333334 = -5.890199016

Simplifying
x + -2.833333334 = -5.890199016

Reorder the terms:
-2.833333334 + x = -5.890199016

Solving
-2.833333334 + x = -5.890199016

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = -5.890199016 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = -5.890199016 + 2.833333334
x = -5.890199016 + 2.833333334

Combine like terms: -5.890199016 + 2.833333334 = -3.056865682
x = -3.056865682

Simplifying
x = -3.056865682


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.72353235, -3.056865682}
Solution
x = {8.72353235, -3.056865682}

See similar equations:

| log(8)(y+1)=log(8)(3y-5) | | 9x^2-51x-240=o | | -21x+12y=2 | | 45X+30Y=7125 | | 7(x+1)+4(2x-2)= | | 1.1r+1.2x-5.4=-10 | | 0.5+x=4 | | 3.2b-6=2.1+27 | | 14x^5-24x^4=0 | | 5x-(4)=21 | | 2g(5)= | | 3-2(2-5x)=0 | | 32-72= | | -1/2(4-9q)=-1+13q/2 | | 3x-7y=-14 | | 144-4x=9x+218 | | (5-1)-(3-2i)=0 | | 45.6+0.2x=315 | | 7k-4+6k=-4-4k | | 19x+80= | | x+2(y-5)=3 | | a^2+ab+b=0 | | 13-3h=8+4h-7 | | 10x^2+60x+36=O | | 6(c+12)=5d+8 | | 2x-25=5x-4 | | 3x-7+x=17 | | 3a+2a=2-1 | | 9x+11=5+10x | | log(6x+7)-log(x-1)=1 | | x+1+2x=7 | | 2(6x+5)=34 |

Equations solver categories