(x+2)(x+4)+1=4(x+2x+4)

Simple and best practice solution for (x+2)(x+4)+1=4(x+2x+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 (x+2)(x+4)+1=4(x+2x+4) equation:


Simplifying
(x + 2)(x + 4) + 1 = 4(x + 2x + 4)

Reorder the terms:
(2 + x)(x + 4) + 1 = 4(x + 2x + 4)

Reorder the terms:
(2 + x)(4 + x) + 1 = 4(x + 2x + 4)

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) + 1 = 4(x + 2x + 4)
((4 * 2 + x * 2) + x(4 + x)) + 1 = 4(x + 2x + 4)
((8 + 2x) + x(4 + x)) + 1 = 4(x + 2x + 4)
(8 + 2x + (4 * x + x * x)) + 1 = 4(x + 2x + 4)
(8 + 2x + (4x + x2)) + 1 = 4(x + 2x + 4)

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) + 1 = 4(x + 2x + 4)

Reorder the terms:
8 + 1 + 6x + x2 = 4(x + 2x + 4)

Combine like terms: 8 + 1 = 9
9 + 6x + x2 = 4(x + 2x + 4)

Reorder the terms:
9 + 6x + x2 = 4(4 + x + 2x)

Combine like terms: x + 2x = 3x
9 + 6x + x2 = 4(4 + 3x)
9 + 6x + x2 = (4 * 4 + 3x * 4)
9 + 6x + x2 = (16 + 12x)

Solving
9 + 6x + x2 = 16 + 12x

Solving for variable 'x'.

Reorder the terms:
9 + -16 + 6x + -12x + x2 = 16 + 12x + -16 + -12x

Combine like terms: 9 + -16 = -7
-7 + 6x + -12x + x2 = 16 + 12x + -16 + -12x

Combine like terms: 6x + -12x = -6x
-7 + -6x + x2 = 16 + 12x + -16 + -12x

Reorder the terms:
-7 + -6x + x2 = 16 + -16 + 12x + -12x

Combine like terms: 16 + -16 = 0
-7 + -6x + x2 = 0 + 12x + -12x
-7 + -6x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -6x + x2 = 0

Factor a trinomial.
(-1 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-1, 7}

See similar equations:

| 6+15+-12=24+-60 | | 4y+2+2(3y-25)=180 | | 15c^3+25c^2-60c=0 | | 9(x+5)+x=4(x+4)+2 | | 5+x=2x-6 | | f+7=3 | | -12+6D=18d-18 | | 2x+n=.5m | | 0.3s+5=8-0.2s | | 12-3x=6x+47 | | 5-3x=7x+4 | | -7(1+6r)=33-2r | | -13+4X=-15+27+2 | | -3(b-8)=-11+2b | | 2T^2=5-1t | | 6m+8-8m=3m-12 | | 18c^2-98=0 | | 6(5r-11)-(5-r)= | | 2T^2=5-t | | M^2+4mn+4n^2= | | b-4b+4=0 | | 9*x^2-60x+60=0 | | 3z+2+(-5z)+6= | | 16t^2+10t-9=0 | | 0.20x-0.75=2.5x | | (x-3)+2x=-20 | | (6-8i)(2+8i)=0 | | 8(v+1)=8+8v | | (3x-4)(7-x)=0 | | r^4-100=0 | | Z=3x+3y | | 0.75x+12=-5-0.66x |

Equations solver categories