x^2-10x-12=

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


Simplifying
x2 + -10x + -12 = 0

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

Solving
-12 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 12 + 25

Reorder the terms:
25 + -10x + x2 = 12 + 25

Combine like terms: 12 + 25 = 37
25 + -10x + x2 = 37

Factor a perfect square on the left side:
(x + -5)(x + -5) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(x + -5) equal to 6.08276253 and -6.08276253.

Subproblem 1

x + -5 = 6.08276253 Simplifying x + -5 = 6.08276253 Reorder the terms: -5 + x = 6.08276253 Solving -5 + x = 6.08276253 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 6.08276253 + 5 Combine like terms: -5 + 5 = 0 0 + x = 6.08276253 + 5 x = 6.08276253 + 5 Combine like terms: 6.08276253 + 5 = 11.08276253 x = 11.08276253 Simplifying x = 11.08276253

Subproblem 2

x + -5 = -6.08276253 Simplifying x + -5 = -6.08276253 Reorder the terms: -5 + x = -6.08276253 Solving -5 + x = -6.08276253 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = -6.08276253 + 5 Combine like terms: -5 + 5 = 0 0 + x = -6.08276253 + 5 x = -6.08276253 + 5 Combine like terms: -6.08276253 + 5 = -1.08276253 x = -1.08276253 Simplifying x = -1.08276253

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.08276253, -1.08276253}

See similar equations:

| 5x^5+13x^4=5x^3 | | -1=x/13 | | 2x+6=3x+9 | | p^2-14p+c=0 | | 3(2x-5)=4x-8-x-1 | | 11=v/3+5 | | 8-2x= | | m^2+24m+c=0 | | 8-2x=-10 | | x^2-1.67x+c=0 | | x^2-(m-1)x+2=3x^2-(2m-4)x-4 | | (6x^5)-(x^4)-(20x^3)+(15x^2)+(4x)-(4)=0 | | x^2-32x+c=0 | | -21=6x+9 | | x^2-38x+c=0 | | 6x-9=7(x+1) | | n-6+4n= | | 4x+7(4x-18)=162 | | -24/-3= | | 6=5x | | 7=10x | | 3x-26=19-2x | | 5x+x=90 | | 8-r=15 | | x^2+6x-9= | | 2m+4m-3m^2= | | 4(2x+5)=3(3x-5)-31 | | 18/12= | | 7(x+5)=-25+2x | | 6x+5x=90 | | 3n+26+2n+37+4n+15=180 | | (2x+9)(4x-3)=8x^2-12 |

Equations solver categories