12x^2-160x+375=0

Simple and best practice solution for 12x^2-160x+375=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 12x^2-160x+375=0 equation: 


Simplifying
12x2 + -160x + 375 = 0

Reorder the terms:
375 + -160x + 12x2 = 0

Solving
375 + -160x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
31.25 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '-31.25' to each side of the equation.
31.25 + -13.33333333x + -31.25 + x2 = 0 + -31.25

Reorder the terms:
31.25 + -31.25 + -13.33333333x + x2 = 0 + -31.25

Combine like terms: 31.25 + -31.25 = 0.00
0.00 + -13.33333333x + x2 = 0 + -31.25
-13.33333333x + x2 = 0 + -31.25

Combine like terms: 0 + -31.25 = -31.25
-13.33333333x + x2 = -31.25

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = -31.25 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -31.25 + 44.44444442

Combine like terms: -31.25 + 44.44444442 = 13.19444442
44.44444442 + -13.33333333x + x2 = 13.19444442

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = 13.19444442

Calculate the square root of the right side: 3.632415783

Break this problem into two subproblems by setting 
(x + -6.666666665) equal to 3.632415783 and -3.632415783.


Subproblem 1
x + -6.666666665 = 3.632415783

Simplifying
x + -6.666666665 = 3.632415783

Reorder the terms:
-6.666666665 + x = 3.632415783

Solving
-6.666666665 + x = 3.632415783

Solving for variable 'x'.

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

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = 3.632415783 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = 3.632415783 + 6.666666665
x = 3.632415783 + 6.666666665

Combine like terms: 3.632415783 + 6.666666665 = 10.299082448
x = 10.299082448

Simplifying
x = 10.299082448


Subproblem 2
x + -6.666666665 = -3.632415783

Simplifying
x + -6.666666665 = -3.632415783

Reorder the terms:
-6.666666665 + x = -3.632415783

Solving
-6.666666665 + x = -3.632415783

Solving for variable 'x'.

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

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = -3.632415783 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = -3.632415783 + 6.666666665
x = -3.632415783 + 6.666666665

Combine like terms: -3.632415783 + 6.666666665 = 3.034250882
x = 3.034250882

Simplifying
x = 3.034250882


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.299082448, 3.034250882}

See similar equations:

| 3+65x=52x+4 | | -39=6-5x | | 8(5+a)=-64 | | 4(b-4)=4 | | 2(4x+5)+-2x=6 | | 100=10h | | 2y-14=10 | | -5v-3=-73 | | -4z+7=-46 | | 31-4x=11-9x | | X^2+y^2+2x-3y-36=0 | | 2x+11=-13-4x | | 12x-80=100 | | 9+11x=-21+x | | 14c/6=77 | | 3x=3216 | | 121k^2-64=0 | | 14b+11=95 | | 3x-2=-2x-3 | | 112/8=a | | 30a+.25=59.50 | | 8-4r=2r-10-4r | | (-2z+6)(4)=42 | | 2x^2+14=1 | | 3(x-2)=-2x-10 | | 4x^2+2x=10 | | 74+38/8=a | | 3x+7y-31=14 | | -4y+2m=-1 | | 12(x+5)=13x+58 | | X+11=3+5x | | -3(x^2+10x+25)-6=0 |

Equations solver categories