12x+12=2x^2+6x+4

Simple and best practice solution for 12x+12=2x^2+6x+4 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+12=2x^2+6x+4 equation: 


Simplifying
12x + 12 = 2x2 + 6x + 4

Reorder the terms:
12 + 12x = 2x2 + 6x + 4

Reorder the terms:
12 + 12x = 4 + 6x + 2x2

Solving
12 + 12x = 4 + 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
12 + -4 + 12x + -6x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2

Combine like terms: 12 + -4 = 8
8 + 12x + -6x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2

Combine like terms: 12x + -6x = 6x
8 + 6x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2

Reorder the terms:
8 + 6x + -2x2 = 4 + -4 + 6x + -6x + 2x2 + -2x2

Combine like terms: 4 + -4 = 0
8 + 6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
8 + 6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
8 + 6x + -2x2 = 0 + 2x2 + -2x2
8 + 6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 3x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(1 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {4, -1}

See similar equations:

| 5y=5-3x | | 4x+5(x+4)= | | 3a-8=3 | | (x-2)*(2*x-3)=0 | | 55+(x-70)0.33=75+(x-100)0.25 | | X^3+2x^2+8x+16=0 | | 3(2-6i)=6 | | 7n-20=4+3n | | 6y-19=-46+9y | | 5x+0.75y+0.25z=100 | | 5x+0.75y+0.25=100 | | 5logx=4 | | 2=1-7z-5z | | 3*x*(2*x+5)=0 | | X^2+x^2+4=100 | | y-6y+14+4y=32 | | 50-4x^2=2 | | (D^4-4D^3+8D^2-8D+4)Y=0 | | Lg(3x+4)=2lgx | | -k^2+2k-1+7=-43 | | 8z-19=-37+5z | | 1-k+7=-43 | | 3n-15=-5+n | | 8x-16=6x | | 3(x+2)=5(x-42) | | -67=3+7x | | -10x-22=-212 | | 24x-4x+72x+100=0 | | 3(4x+3)+6x+1=43 | | 4x+36x=93 | | 3+21=15 | | 3+21=21 |

Equations solver categories