4(3x-2)=x^2+4x+4

Simple and best practice solution for 4(3x-2)=x^2+4x+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 4(3x-2)=x^2+4x+4 equation:


Simplifying
4(3x + -2) = x2 + 4x + 4

Reorder the terms:
4(-2 + 3x) = x2 + 4x + 4
(-2 * 4 + 3x * 4) = x2 + 4x + 4
(-8 + 12x) = x2 + 4x + 4

Reorder the terms:
-8 + 12x = 4 + 4x + x2

Solving
-8 + 12x = 4 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
-8 + -4 + 12x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: -8 + -4 = -12
-12 + 12x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: 12x + -4x = 8x
-12 + 8x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Reorder the terms:
-12 + 8x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-12 + 8x + -1x2 = 0 + 4x + -4x + x2 + -1x2
-12 + 8x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-12 + 8x + -1x2 = 0 + x2 + -1x2
-12 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 8x + -1x2 = 0

Factor a trinomial.
(-6 + x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 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 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {6, 2}

See similar equations:

| 3x(2)+7-6=0 | | V=7.07*4.5 | | -5(x+9)-41=1-62 | | 1/4x1/4x1/4= | | 3/4a-6=2/4 | | -8d+14+d=119 | | 0+60*0+1= | | 20-3(5*2)= | | -48=4(3k+6) | | x-18-6x=-11 | | 2x-9=n | | 3+2x+3x=3 | | -x-2y=-9 | | 64=j | | 1x+49= | | -8+24=64 | | 263=32-x | | (-18x^2)-33x-4=x | | Tn=2n+10 | | 10b-2=7b-7.54 | | x^3-7x+2=3 | | 25(x+3)=175 | | 4r+5=25 | | 16ab/21ab | | Y=8x^2+8x+16 | | 6/12=x/6 | | (X+3)-2(2-3x)=5(x+5)-4 | | 2a+5a=-4 | | 4y+8(3y+7)=6(3y+6) | | 612+25x=912 | | 13x-y=15 | | lx-4l+1=8 |

Equations solver categories