x^2+12x-138=0

Simple and best practice solution for x^2+12x-138=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-138=0 equation:


Simplifying
x2 + 12x + -138 = 0

Reorder the terms:
-138 + 12x + x2 = 0

Solving
-138 + 12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '138' to each side of the equation.
-138 + 12x + 138 + x2 = 0 + 138

Reorder the terms:
-138 + 138 + 12x + x2 = 0 + 138

Combine like terms: -138 + 138 = 0
0 + 12x + x2 = 0 + 138
12x + x2 = 0 + 138

Combine like terms: 0 + 138 = 138
12x + x2 = 138

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 = 138 + 36

Reorder the terms:
36 + 12x + x2 = 138 + 36

Combine like terms: 138 + 36 = 174
36 + 12x + x2 = 174

Factor a perfect square on the left side:
(x + 6)(x + 6) = 174

Calculate the square root of the right side: 13.190905958

Break this problem into two subproblems by setting 
(x + 6) equal to 13.190905958 and -13.190905958.

Subproblem 1

x + 6 = 13.190905958 Simplifying x + 6 = 13.190905958 Reorder the terms: 6 + x = 13.190905958 Solving 6 + x = 13.190905958 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 = 13.190905958 + -6 Combine like terms: 6 + -6 = 0 0 + x = 13.190905958 + -6 x = 13.190905958 + -6 Combine like terms: 13.190905958 + -6 = 7.190905958 x = 7.190905958 Simplifying x = 7.190905958

Subproblem 2

x + 6 = -13.190905958 Simplifying x + 6 = -13.190905958 Reorder the terms: 6 + x = -13.190905958 Solving 6 + x = -13.190905958 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 = -13.190905958 + -6 Combine like terms: 6 + -6 = 0 0 + x = -13.190905958 + -6 x = -13.190905958 + -6 Combine like terms: -13.190905958 + -6 = -19.190905958 x = -19.190905958 Simplifying x = -19.190905958

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.190905958, -19.190905958}

See similar equations:

| (x-4)=(x-4)*(2x-1) | | 5+2m-3=7m+2-4m | | -4x^2=16 | | 3y+7=6y-56 | | x+.1=-.8 | | 11x-76=6x-6 | | (x-11)(x-11)=0 | | 4x+2+3x=2+3+2x | | a=5(x-3)-2x(x-3) | | (7-2y)(5+y)= | | 2ac-4ad+6bc-12bd=0 | | (x+2)(2x-1)= | | 7+z=8z-13 | | 3y-7= | | 8x^2+32x+24=0 | | 9p^2+30p+25=0 | | 4(x-4)=2x+2 | | X-(35-X)=5 | | 8x^2+71x-9=0 | | b+3(y+3b)= | | x^4+13x^2+30=0 | | x-35-x=5 | | x^4+13x+30=0 | | 125a^3+64b^3=0 | | 12x^2-37x+28=0 | | 8x-54=4x-6 | | 8x^2+16x-23=0 | | 7+2x=x+10 | | 4(t-3)+8t=6t(2t+2)-8 | | 4x^2-5=55 | | x+(x+25)+(2x-28)=577 | | 8(x-9)+4=8x+6 |

Equations solver categories