120=(3x+1)(x+1)

Simple and best practice solution for 120=(3x+1)(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 120=(3x+1)(x+1) equation: 


Simplifying
120 = (3x + 1)(x + 1)

Reorder the terms:
120 = (1 + 3x)(x + 1)

Reorder the terms:
120 = (1 + 3x)(1 + x)

Multiply (1 + 3x) * (1 + x)
120 = (1(1 + x) + 3x * (1 + x))
120 = ((1 * 1 + x * 1) + 3x * (1 + x))
120 = ((1 + 1x) + 3x * (1 + x))
120 = (1 + 1x + (1 * 3x + x * 3x))
120 = (1 + 1x + (3x + 3x2))

Combine like terms: 1x + 3x = 4x
120 = (1 + 4x + 3x2)

Solving
120 = 1 + 4x + 3x2

Solving for variable 'x'.

Combine like terms: 120 + -1 = 119
119 + -4x + -3x2 = 1 + 4x + 3x2 + -1 + -4x + -3x2

Reorder the terms:
119 + -4x + -3x2 = 1 + -1 + 4x + -4x + 3x2 + -3x2

Combine like terms: 1 + -1 = 0
119 + -4x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2
119 + -4x + -3x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
119 + -4x + -3x2 = 0 + 3x2 + -3x2
119 + -4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
119 + -4x + -3x2 = 0

Factor a trinomial.
(17 + -3x)(7 + x) = 0


Subproblem 1
Set the factor '(17 + -3x)' equal to zero and attempt to solve:

Simplifying
17 + -3x = 0

Solving
17 + -3x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 0 + -17
-3x = 0 + -17

Combine like terms: 0 + -17 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7
Solution
x = {5.666666667, -7}

See similar equations:

| a=x^2+2x+400 | | 54+3a=108 | | x^2+2x+400= | | -9-4=5x+1-4x | | x^2+2x+400=3x^2-50x+100 | | h^2+3+h^3-3h+h^2-2h-4-4h^3= | | u(v+2)+w(v-3)=z(v-1)forv | | 5-2(a-5)=4a-8 | | 2x-1+3x=7-9 | | 9x-7=9(x+5) | | -4x+8-5x-10= | | 10m+5n-6m=11n | | 2x+6=159 | | 18-5(9-3x)=2(9-x)-8x | | 2(3-2(z+4))=3(4-z) | | 8a^2-9a-5=4-3a | | 8x+8-7x=17 | | X=-7/8y | | 2/3b-3=15 | | Y^3-3y=0 | | 690183783x(56)-7[56]=89 | | 1/5-3b=5 | | 10x-2=4x+7 | | 15x+20y=145 | | 2x/3-1/2=5/6 | | 9(7+5(7-x)+2x)=21-2x | | 2x-3+3x-2= | | 2(4+2(3-x)-2x)=4x-7 | | 4(x+5)=3x-7 | | 8(X-(3-x)-2x)=8(9-x) | | -4x^2+40x+300=0 | | 4x-3+1/2x |

Equations solver categories