(x^2)-12x-10=0

Simple and best practice solution for (x^2)-12x-10=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)-12x-10=0 equation:


Simplifying
(x2) + -12x + -10 = 0
x2 + -12x + -10 = 0

Reorder the terms:
-10 + -12x + x2 = 0

Solving
-10 + -12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -12x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -12x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -12x + x2 = 0 + 10
-12x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-12x + x2 = 10

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = 10 + 36

Reorder the terms:
36 + -12x + x2 = 10 + 36

Combine like terms: 10 + 36 = 46
36 + -12x + x2 = 46

Factor a perfect square on the left side:
(x + -6)(x + -6) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + -6) equal to 6.782329983 and -6.782329983.

Subproblem 1

x + -6 = 6.782329983 Simplifying x + -6 = 6.782329983 Reorder the terms: -6 + x = 6.782329983 Solving -6 + x = 6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 6.782329983 + 6 Combine like terms: -6 + 6 = 0 0 + x = 6.782329983 + 6 x = 6.782329983 + 6 Combine like terms: 6.782329983 + 6 = 12.782329983 x = 12.782329983 Simplifying x = 12.782329983

Subproblem 2

x + -6 = -6.782329983 Simplifying x + -6 = -6.782329983 Reorder the terms: -6 + x = -6.782329983 Solving -6 + x = -6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -6.782329983 + 6 Combine like terms: -6 + 6 = 0 0 + x = -6.782329983 + 6 x = -6.782329983 + 6 Combine like terms: -6.782329983 + 6 = -0.782329983 x = -0.782329983 Simplifying x = -0.782329983

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.782329983, -0.782329983}

See similar equations:

| 8r+7=3x+6 | | -12=6t2/3y | | (r^2)+4r-56=0 | | 9+(2x)+x=180 | | 60=2x+2y | | (v^2)-2v-35=0 | | 2k^2+k-3=0 | | Y^2=-7-10 | | 1-5/2x16 | | -5z-6.3+4.2z+0.9z-1= | | -7=c/-6t12 | | 5x-12x+15=-4 | | x^2/.380-x=3.9log^-5 | | 12t-36=108 | | 10c-8=32 | | 5x-13x+2x=44+4x | | p=297+2145 | | -3(5x-9)+6=-15x+33 | | x/-4t5=1 | | a^2-11a+24=o | | -2x-6=2-4x-1(x-1) | | 10k+-4+-8(-3k+-4)= | | (v^2)-14v-44=0 | | f(x)=4sec^2x^2 | | Xy^2+9=10x | | 3w+4(10+10w)= | | 2x+6=-6x+2 | | 14x+6+90=180 | | -46+48x=12 | | 4(5x-3)=3(8x-1)-5 | | 2x+x+3=21 | | 24=-4x+8y |

Equations solver categories