4x+8=(x+5)(x+1)

Simple and best practice solution for 4x+8=(x+5)(x+1) 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 4x+8=(x+5)(x+1) equation: 


Simplifying
4x + 8 = (x + 5)(x + 1)

Reorder the terms:
8 + 4x = (x + 5)(x + 1)

Reorder the terms:
8 + 4x = (5 + x)(x + 1)

Reorder the terms:
8 + 4x = (5 + x)(1 + x)

Multiply (5 + x) * (1 + x)
8 + 4x = (5(1 + x) + x(1 + x))
8 + 4x = ((1 * 5 + x * 5) + x(1 + x))
8 + 4x = ((5 + 5x) + x(1 + x))
8 + 4x = (5 + 5x + (1 * x + x * x))
8 + 4x = (5 + 5x + (1x + x2))

Combine like terms: 5x + 1x = 6x
8 + 4x = (5 + 6x + x2)

Solving
8 + 4x = 5 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
8 + -5 + 4x + -6x + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Combine like terms: 8 + -5 = 3
3 + 4x + -6x + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Combine like terms: 4x + -6x = -2x
3 + -2x + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Reorder the terms:
3 + -2x + -1x2 = 5 + -5 + 6x + -6x + x2 + -1x2

Combine like terms: 5 + -5 = 0
3 + -2x + -1x2 = 0 + 6x + -6x + x2 + -1x2
3 + -2x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
3 + -2x + -1x2 = 0 + x2 + -1x2
3 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {1, -3}

See similar equations:

| 40+1.50x=x | | 7(14)+2y=-17 | | -15=a/-5 | | (a-1)(a-1)-5(a-1)=-6 | | -0.45=0.3d | | 7y-6y=11 | | 7(0)+2y=-17 | | 8x+80=8 | | 4x+7=(x+5)(x+1) | | 1+2xy+y^2=0 | | y=2xsquared-6x-14 | | R/20 | | X/3=4x/9 | | 7x+2(-20)=-17 | | 30x+180=75x | | x^3+10x^2+6x-20=0 | | M^2-10m= | | 3x=2a+9 | | 7x+2(-1)=-17 | | 15-8x-18= | | x^2-52x+676=0 | | 7X*2-12X+13X=4 | | 80h+60h-60=150 | | 7x+2(14)=-17 | | 7/10x20= | | 7p+45=6p+18 | | (B-2)(b+3)=6 | | 5/4÷-20/19 | | 7x+2(0)=-17 | | 5/4÷-20/119 | | x^2+144=44 | | 2=5r+1 |

Equations solver categories