36x^2-504x+960=0

Simple and best practice solution for 36x^2-504x+960=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 36x^2-504x+960=0 equation: 


Simplifying
36x2 + -504x + 960 = 0

Reorder the terms:
960 + -504x + 36x2 = 0

Solving
960 + -504x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(80 + -42x + 3x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(80 + -42x + 3x2)' equal to zero and attempt to solve:

Simplifying
80 + -42x + 3x2 = 0

Solving
80 + -42x + 3x2 = 0

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

Divide each side by '3'.
26.66666667 + -14x + x2 = 0

Move the constant term to the right:

Add '-26.66666667' to each side of the equation.
26.66666667 + -14x + -26.66666667 + x2 = 0 + -26.66666667

Reorder the terms:
26.66666667 + -26.66666667 + -14x + x2 = 0 + -26.66666667

Combine like terms: 26.66666667 + -26.66666667 = 0.00000000
0.00000000 + -14x + x2 = 0 + -26.66666667
-14x + x2 = 0 + -26.66666667

Combine like terms: 0 + -26.66666667 = -26.66666667
-14x + x2 = -26.66666667

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -26.66666667 + 49

Reorder the terms:
49 + -14x + x2 = -26.66666667 + 49

Combine like terms: -26.66666667 + 49 = 22.33333333
49 + -14x + x2 = 22.33333333

Factor a perfect square on the left side:
(x + -7)(x + -7) = 22.33333333

Calculate the square root of the right side: 4.725815626

Break this problem into two subproblems by setting 
(x + -7) equal to 4.725815626 and -4.725815626.


Subproblem 1
x + -7 = 4.725815626

Simplifying
x + -7 = 4.725815626

Reorder the terms:
-7 + x = 4.725815626

Solving
-7 + x = 4.725815626

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 4.725815626 + 7

Combine like terms: -7 + 7 = 0
0 + x = 4.725815626 + 7
x = 4.725815626 + 7

Combine like terms: 4.725815626 + 7 = 11.725815626
x = 11.725815626

Simplifying
x = 11.725815626


Subproblem 2
x + -7 = -4.725815626

Simplifying
x + -7 = -4.725815626

Reorder the terms:
-7 + x = -4.725815626

Solving
-7 + x = -4.725815626

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -4.725815626 + 7

Combine like terms: -7 + 7 = 0
0 + x = -4.725815626 + 7
x = -4.725815626 + 7

Combine like terms: -4.725815626 + 7 = 2.274184374
x = 2.274184374

Simplifying
x = 2.274184374


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.725815626, 2.274184374}
Solution
x = {11.725815626, 2.274184374}

See similar equations:

| 5x+12x-4+18x+4+15x+10=360 | | 3x-7=3(3x+1) | | 20x-2=4/7x | | a(r)=(4)3.14r^2 | | 10a+5(a-3)= | | 8x+12y=-1 | | in(x+19)=in(7x-8) | | -24x^2-2x+35=0 | | 2x(-3)=4y(-1) | | 5v^2+3v+10=0 | | y=sin^3(4x) | | y-25=4 | | -(r-4)=6+2r | | 3.5+k=12.75 | | 3(2k+8)-2(k+8)= | | 7(-3+x)=-21 | | -2j=283 | | -(-7y+z-6)= | | 5y-4=-15x | | 12x-4+18x+4+15x+10=360 | | 10/67=23/x | | (5x-8)-(6x+13)=1 | | -35x^2+27x+18=0 | | 2(5-7x)=52 | | 5(3x-2)-2(3x-4)=13 | | 2(s-4)=6+2r | | s=4*6+64t-16t^2 | | 4v^2-4v-24=0 | | -x=3x^2 | | 21=3s+4b | | r-1.7=-7.9 | | -28x^2+5x+3=0 |

Equations solver categories