2x^2-12x-12=0

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


Simplifying
2x2 + -12x + -12 = 0

Reorder the terms:
-12 + -12x + 2x2 = 0

Solving
-12 + -12x + 2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + -6x + x2)' equal to zero and attempt to solve: Simplifying -6 + -6x + x2 = 0 Solving -6 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + -6x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + -6x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6x + x2 = 0 + 6 -6x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -6x + x2 = 6 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = 6 + 9 Reorder the terms: 9 + -6x + x2 = 6 + 9 Combine like terms: 6 + 9 = 15 9 + -6x + x2 = 15 Factor a perfect square on the left side: (x + -3)(x + -3) = 15 Calculate the square root of the right side: 3.872983346 Break this problem into two subproblems by setting (x + -3) equal to 3.872983346 and -3.872983346.

Subproblem 1

x + -3 = 3.872983346 Simplifying x + -3 = 3.872983346 Reorder the terms: -3 + x = 3.872983346 Solving -3 + x = 3.872983346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 3.872983346 + 3 Combine like terms: -3 + 3 = 0 0 + x = 3.872983346 + 3 x = 3.872983346 + 3 Combine like terms: 3.872983346 + 3 = 6.872983346 x = 6.872983346 Simplifying x = 6.872983346

Subproblem 2

x + -3 = -3.872983346 Simplifying x + -3 = -3.872983346 Reorder the terms: -3 + x = -3.872983346 Solving -3 + x = -3.872983346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -3.872983346 + 3 Combine like terms: -3 + 3 = 0 0 + x = -3.872983346 + 3 x = -3.872983346 + 3 Combine like terms: -3.872983346 + 3 = -0.872983346 x = -0.872983346 Simplifying x = -0.872983346

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.872983346, -0.872983346}

Solution

x = {6.872983346, -0.872983346}

See similar equations:

| 3h-5h+11=-18 | | 9x+11=6x-4 | | 5(y-8)= | | 3x*9.65= | | 40+0.25n=x | | 8r-7r=12 | | -20u+15u=15 | | 40+0.25=n | | 2x+67=127 | | 15+c^2=98 | | 10-6x=-26t | | 4(m+3)-2m=3(m-2) | | 3t^2-24t+21= | | 10+4v=6 | | (1-x)*(3-x)*(2-x)-4*(1-x)=0 | | y(x^2)+yx+4y=x | | 3x+2+4x+6=36 | | 3*-9-3*-3= | | 3(b-6)=2(b-4) | | 5(x+5)-8=24-4x-7+9x | | 2x+25=10 | | 120-(7x+16)=7(x+2)+x | | 12y-y-5y=18 | | 4a-24=-4(1-6a) | | 12=3y-15 | | 2x-5*-5=10 | | 4(2n-3)=-3(n+2)+3 | | 2*-5-5y=10 | | -x^2-10x+7=0 | | 2*0-5*-2= | | p-8=-4+3p | | 11.7+n=19.60 |

Equations solver categories