12x^2-12=-2x

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


Simplifying
12x2 + -12 = -2x

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

Solving
-12 + 12x2 = -2x

Solving for variable 'x'.

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

Combine like terms: -2x + 2x = 0
-12 + 2x + 12x2 = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + x + 6x2)' equal to zero and attempt to solve: Simplifying -6 + x + 6x2 = 0 Solving -6 + x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.1666666667x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 0.1666666667x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1666666667x + x2 = 0 + 1 0.1666666667x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.1666666667x + x2 = 1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1666666667x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + 0.1666666667x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + 0.1666666667x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.

Subproblem 1

x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989

Subproblem 2

x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}

Solution

x = {0.618033989, -1.618033989}

See similar equations:

| -6.8x+5= | | 2x^2-15xy+18y^2=0 | | 9f-3.6=10.8 | | xcvbnm=555567 | | 6g-12=2g+28 | | -6x-4=80 | | 0.02x+0.09(100+-1x)=2.7 | | 9r^2-7=74 | | 12=4z | | 8x*11=9(5-x) | | x=-12+5y | | -8.1h=-6.7h+17.22 | | 4n^2-9=-5 | | 5x^2-22xy+8y^2=0 | | 3(4n-5)=12 | | 4m-4=-4+4m | | .02+.09(100-x)=2.7 | | X+(8+x)=36 | | 5p^2-1=0 | | -18.9s-18.02=10.01-15.4s+14.67 | | 5g^2-5g=0 | | -20=-5x-4x | | 3[4w-1]-3=10 | | -2r+10r+-4r+4=-16 | | -4y=11 | | 6x+4(x+3)=72 | | 18(x+2)-7=-3(x+6)-16 | | -5(x*1)=-4-7x | | 8+5-24-7=24-5-4 | | x^3+43x^2-14x=9 | | -11.7d-7.98=-9.8d | | 0.75*(3)-6= |

Equations solver categories