12x^2-130x+252=0

Simple and best practice solution for 12x^2-130x+252=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^2-130x+252=0 equation: 


Simplifying
12x2 + -130x + 252 = 0

Reorder the terms:
252 + -130x + 12x2 = 0

Solving
252 + -130x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(126 + -65x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(126 + -65x + 6x2)' equal to zero and attempt to solve:

Simplifying
126 + -65x + 6x2 = 0

Solving
126 + -65x + 6x2 = 0

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

Divide each side by '6'.
21 + -10.83333333x + x2 = 0

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -10.83333333x + -21 + x2 = 0 + -21

Reorder the terms:
21 + -21 + -10.83333333x + x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -10.83333333x + x2 = 0 + -21
-10.83333333x + x2 = 0 + -21

Combine like terms: 0 + -21 = -21
-10.83333333x + x2 = -21

The x term is -10.83333333x.  Take half its coefficient (-5.416666665).
Square it (29.34027776) and add it to both sides.

Add '29.34027776' to each side of the equation.
-10.83333333x + 29.34027776 + x2 = -21 + 29.34027776

Reorder the terms:
29.34027776 + -10.83333333x + x2 = -21 + 29.34027776

Combine like terms: -21 + 29.34027776 = 8.34027776
29.34027776 + -10.83333333x + x2 = 8.34027776

Factor a perfect square on the left side:
(x + -5.416666665)(x + -5.416666665) = 8.34027776

Calculate the square root of the right side: 2.887953905

Break this problem into two subproblems by setting 
(x + -5.416666665) equal to 2.887953905 and -2.887953905.


Subproblem 1
x + -5.416666665 = 2.887953905

Simplifying
x + -5.416666665 = 2.887953905

Reorder the terms:
-5.416666665 + x = 2.887953905

Solving
-5.416666665 + x = 2.887953905

Solving for variable 'x'.

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

Add '5.416666665' to each side of the equation.
-5.416666665 + 5.416666665 + x = 2.887953905 + 5.416666665

Combine like terms: -5.416666665 + 5.416666665 = 0.000000000
0.000000000 + x = 2.887953905 + 5.416666665
x = 2.887953905 + 5.416666665

Combine like terms: 2.887953905 + 5.416666665 = 8.30462057
x = 8.30462057

Simplifying
x = 8.30462057


Subproblem 2
x + -5.416666665 = -2.887953905

Simplifying
x + -5.416666665 = -2.887953905

Reorder the terms:
-5.416666665 + x = -2.887953905

Solving
-5.416666665 + x = -2.887953905

Solving for variable 'x'.

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

Add '5.416666665' to each side of the equation.
-5.416666665 + 5.416666665 + x = -2.887953905 + 5.416666665

Combine like terms: -5.416666665 + 5.416666665 = 0.000000000
0.000000000 + x = -2.887953905 + 5.416666665
x = -2.887953905 + 5.416666665

Combine like terms: -2.887953905 + 5.416666665 = 2.52871276
x = 2.52871276

Simplifying
x = 2.52871276


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.30462057, 2.52871276}
Solution
x = {8.30462057, 2.52871276}

See similar equations:

| -0.01(5x+4)=0.04-0.01(x-4) | | (3x-x^2)/(x+3)^2 | | 10(T-1)=8(T+2)-T | | yx^2+6xy+9y-3x+x^2=0 | | yx^2+6xy+9y+3x-x^2=0 | | 5+6w=2+12w | | 4-4(2)(-8)= | | Y^2-4y-8x-28=0 | | -x^2+28x=160 | | 4.00x+20.00=32 | | -(15-5s)-(9s+1)=48 | | ln(x+9)+ln(x-2)=2ln(x) | | 4.00x+20.00=3 | | 13=-y+8 | | k/4+24=10 | | 4.00x+20=200 | | 9x+6z-3y=2y+2x | | 8y+56=4y | | -8-y=9 | | (x-4)(y+6)= | | 6x^2-2-4=0 | | 6x(2)-2-4=0 | | 31=0.2n+80 | | 4x+13=12421 | | 15/(50+x)=21 | | 15/(50+x) | | 1/6-3/4-1/a | | 700/r=150/(r-110) | | 7/4k+1/k=-2 | | 0=(-200/x^2)+8 | | 0=(-200-x^2)+8 | | 20x-9= |

Equations solver categories