x^2-12x-5=7

Simple and best practice solution for x^2-12x-5=7 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-5=7 equation:


Simplifying
x2 + -12x + -5 = 7

Reorder the terms:
-5 + -12x + x2 = 7

Solving
-5 + -12x + x2 = 7

Solving for variable 'x'.

Reorder the terms:
-5 + -7 + -12x + x2 = 7 + -7

Combine like terms: -5 + -7 = -12
-12 + -12x + x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-12 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = 12 + 36

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

Combine like terms: 12 + 36 = 48
36 + -12x + x2 = 48

Factor a perfect square on the left side:
(x + -6)(x + -6) = 48

Calculate the square root of the right side: 6.92820323

Break this problem into two subproblems by setting 
(x + -6) equal to 6.92820323 and -6.92820323.

Subproblem 1

x + -6 = 6.92820323 Simplifying x + -6 = 6.92820323 Reorder the terms: -6 + x = 6.92820323 Solving -6 + x = 6.92820323 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 = 6.92820323 + 6 Combine like terms: -6 + 6 = 0 0 + x = 6.92820323 + 6 x = 6.92820323 + 6 Combine like terms: 6.92820323 + 6 = 12.92820323 x = 12.92820323 Simplifying x = 12.92820323

Subproblem 2

x + -6 = -6.92820323 Simplifying x + -6 = -6.92820323 Reorder the terms: -6 + x = -6.92820323 Solving -6 + x = -6.92820323 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 = -6.92820323 + 6 Combine like terms: -6 + 6 = 0 0 + x = -6.92820323 + 6 x = -6.92820323 + 6 Combine like terms: -6.92820323 + 6 = -0.92820323 x = -0.92820323 Simplifying x = -0.92820323

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.92820323, -0.92820323}

See similar equations:

| 4X=2(0.8X)+2(X+3)+2 | | 8.2x+5-5.2x=8 | | 4=13-3f | | V+u=15 | | 8x-36.4=x | | 0.7x+0.9=-1.9 | | 6(x-9.9)=1.8 | | 9x+y=-11 | | 8x+9.52=2x+16 | | 34=6.5(2)+2L | | -2.4x+2.4=-9.6 | | -2.4x-2.4=-9.6 | | sqrt(x^2-20x-44)=5 | | 6(X-5)=2(3X-20) | | 4-5(x+1)=2+-3x | | Y=2x^4-2x^3-6x^2+34x-60 | | 10=y-x | | Ax+By=2 | | 5b-13=7b+7 | | X(x+2)=83.7 | | ax+ay+bx=0 | | Sp=12 | | 14x^2+-x+78=0 | | x^2+-2x+-78=0 | | 2-(t-4)=10-2t | | 4k-k=20 | | (ax+b)*(cx+d)=1 | | -4y+12=6y+12 | | 4(m-3)=24 | | 6+3x=.5(12+6x) | | A=18x | | y-8=-0.5(x+4) |

Equations solver categories