(3x+7)(x+5)=12x+28

Simple and best practice solution for (3x+7)(x+5)=12x+28 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 (3x+7)(x+5)=12x+28 equation: 


Simplifying
(3x + 7)(x + 5) = 12x + 28

Reorder the terms:
(7 + 3x)(x + 5) = 12x + 28

Reorder the terms:
(7 + 3x)(5 + x) = 12x + 28

Multiply (7 + 3x) * (5 + x)
(7(5 + x) + 3x * (5 + x)) = 12x + 28
((5 * 7 + x * 7) + 3x * (5 + x)) = 12x + 28
((35 + 7x) + 3x * (5 + x)) = 12x + 28
(35 + 7x + (5 * 3x + x * 3x)) = 12x + 28
(35 + 7x + (15x + 3x2)) = 12x + 28

Combine like terms: 7x + 15x = 22x
(35 + 22x + 3x2) = 12x + 28

Reorder the terms:
35 + 22x + 3x2 = 28 + 12x

Solving
35 + 22x + 3x2 = 28 + 12x

Solving for variable 'x'.

Reorder the terms:
35 + -28 + 22x + -12x + 3x2 = 28 + 12x + -28 + -12x

Combine like terms: 35 + -28 = 7
7 + 22x + -12x + 3x2 = 28 + 12x + -28 + -12x

Combine like terms: 22x + -12x = 10x
7 + 10x + 3x2 = 28 + 12x + -28 + -12x

Reorder the terms:
7 + 10x + 3x2 = 28 + -28 + 12x + -12x

Combine like terms: 28 + -28 = 0
7 + 10x + 3x2 = 0 + 12x + -12x
7 + 10x + 3x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
7 + 10x + 3x2 = 0

Factor a trinomial.
(7 + 3x)(1 + x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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 = {-2.333333333, -1}

See similar equations:

| -(7b-14)+10b=b-12 | | 4(x+1)-2=4x+2 | | 3(3-1)=5(3-1)-2(7-6) | | c=-b+xd | | -2y^2+7y-3= | | 4+5(x-2)=10x-(5x+6) | | 3(y-6)+4=7 | | 4n^2-72n+224=0 | | y=-3+-4x | | 2x-2.4=2-x | | 120=36.36+.50x | | 108.9=9(m+3.3) | | x=-b+cd | | 0.4k=1.92 | | .25(12x+24)-9x= | | d-2=4(d-6) | | (2p+q)(3p+2q)= | | Ff-9h=10j | | Df-9h=10j | | 125+10a=230+7a | | 9p+8.4=10.5+8p | | 180=(2x-12)+90+x | | 18x=36x | | 2a-8b-4(a-2b)= | | y=0.838x-1387.4 | | 2x-3x=2+5 | | 3(x-2)+2=2(x-2)+x | | x^2+2mx-3=0 | | 5x^7-20x^6+40x^5=0 | | 9a-3a-12=(-36)+3a | | 13x-(7+5x)= | | 5p+15+9=2p-6+6 |

Equations solver categories