(x+5)(x+1)=45

Simple and best practice solution for (x+5)(x+1)=45 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+5)(x+1)=45 equation: 


Simplifying
(x + 5)(x + 1) = 45

Reorder the terms:
(5 + x)(x + 1) = 45

Reorder the terms:
(5 + x)(1 + x) = 45

Multiply (5 + x) * (1 + x)
(5(1 + x) + x(1 + x)) = 45
((1 * 5 + x * 5) + x(1 + x)) = 45
((5 + 5x) + x(1 + x)) = 45
(5 + 5x + (1 * x + x * x)) = 45
(5 + 5x + (1x + x2)) = 45

Combine like terms: 5x + 1x = 6x
(5 + 6x + x2) = 45

Solving
5 + 6x + x2 = 45

Solving for variable 'x'.

Reorder the terms:
5 + -45 + 6x + x2 = 45 + -45

Combine like terms: 5 + -45 = -40
-40 + 6x + x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 4}

See similar equations:

| 8r-2r=12 | | F+9(F-5)= | | 4p^2+4p-120=0 | | Y-2.8=1.9 | | p+(-41)=52 | | Y+6.17=31.58 | | 3M-2(M-5)= | | 8x^2-23x=3 | | -9w+10=6w-5 | | x^2+21x=72 | | x^3y^2-x^2y^4+x^5y^2= | | 4X+2(6-X)= | | x+6y+7=0slope | | 5x^2=32x+64 | | x=3.14(5)12+3.14(5)5 | | 34(45x+45)=4 | | 1.0x-50=.80(x+-100) | | 5b-5=-6b+3 | | 25v^3-9v=0 | | x=3.14(8)10 | | 22+20=42 | | 6-2(X+2)= | | -4x^2-12x-5=0 | | 6(x-8)+18=4(x-6) | | 2.5(4y-6)= | | x=3.14(6)10+3.14(6)6 | | X+7x-16=0 | | 8-d=24-6d | | -2(-11)+20=42 | | 2x+12=x-3 | | s^4=4s | | (7x+6)(7x+6)= |

Equations solver categories