(3x+1)(x+3)=19-2(x+2)(x+2)

Simple and best practice solution for (3x+1)(x+3)=19-2(x+2)(x+2) 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+1)(x+3)=19-2(x+2)(x+2) equation: 


Simplifying
(3x + 1)(x + 3) = 19 + -2(x + 2)(x + 2)

Reorder the terms:
(1 + 3x)(x + 3) = 19 + -2(x + 2)(x + 2)

Reorder the terms:
(1 + 3x)(3 + x) = 19 + -2(x + 2)(x + 2)

Multiply (1 + 3x) * (3 + x)
(1(3 + x) + 3x * (3 + x)) = 19 + -2(x + 2)(x + 2)
((3 * 1 + x * 1) + 3x * (3 + x)) = 19 + -2(x + 2)(x + 2)
((3 + 1x) + 3x * (3 + x)) = 19 + -2(x + 2)(x + 2)
(3 + 1x + (3 * 3x + x * 3x)) = 19 + -2(x + 2)(x + 2)
(3 + 1x + (9x + 3x2)) = 19 + -2(x + 2)(x + 2)

Combine like terms: 1x + 9x = 10x
(3 + 10x + 3x2) = 19 + -2(x + 2)(x + 2)

Reorder the terms:
3 + 10x + 3x2 = 19 + -2(2 + x)(x + 2)

Reorder the terms:
3 + 10x + 3x2 = 19 + -2(2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
3 + 10x + 3x2 = 19 + -2(2(2 + x) + x(2 + x))
3 + 10x + 3x2 = 19 + -2((2 * 2 + x * 2) + x(2 + x))
3 + 10x + 3x2 = 19 + -2((4 + 2x) + x(2 + x))
3 + 10x + 3x2 = 19 + -2(4 + 2x + (2 * x + x * x))
3 + 10x + 3x2 = 19 + -2(4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
3 + 10x + 3x2 = 19 + -2(4 + 4x + x2)
3 + 10x + 3x2 = 19 + (4 * -2 + 4x * -2 + x2 * -2)
3 + 10x + 3x2 = 19 + (-8 + -8x + -2x2)

Combine like terms: 19 + -8 = 11
3 + 10x + 3x2 = 11 + -8x + -2x2

Solving
3 + 10x + 3x2 = 11 + -8x + -2x2

Solving for variable 'x'.

Reorder the terms:
3 + -11 + 10x + 8x + 3x2 + 2x2 = 11 + -8x + -2x2 + -11 + 8x + 2x2

Combine like terms: 3 + -11 = -8
-8 + 10x + 8x + 3x2 + 2x2 = 11 + -8x + -2x2 + -11 + 8x + 2x2

Combine like terms: 10x + 8x = 18x
-8 + 18x + 3x2 + 2x2 = 11 + -8x + -2x2 + -11 + 8x + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
-8 + 18x + 5x2 = 11 + -8x + -2x2 + -11 + 8x + 2x2

Reorder the terms:
-8 + 18x + 5x2 = 11 + -11 + -8x + 8x + -2x2 + 2x2

Combine like terms: 11 + -11 = 0
-8 + 18x + 5x2 = 0 + -8x + 8x + -2x2 + 2x2
-8 + 18x + 5x2 = -8x + 8x + -2x2 + 2x2

Combine like terms: -8x + 8x = 0
-8 + 18x + 5x2 = 0 + -2x2 + 2x2
-8 + 18x + 5x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + 18x + 5x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-4, 0.4}

See similar equations:

| 5x-9x+5=x-9+14 | | x^2-7x+9=-2 | | -2+7x=6-3x | | -2(32+1)-10=4 | | 2x-3=8x+15 | | 5(y-1)=3y-13 | | x+6+7x-12+4x-6=60 | | -81=27y | | -2X+7X=6-3X | | 3x+117=762 | | 7(6+2a)=5(-3a+1) | | 4w^2-19w-5=0 | | 1/2(3g-2)=g/6 | | p=-5x^2+100x-473 | | x+3x-117=762 | | 2x+18=3x+7 | | x-3x+117=762 | | 9n=8n+29 | | 2y^5+7y^4-14Y-49= | | 251w^2=251 | | 12=-7y-9 | | 7(7x-5)-3(9x+4)=63 | | 0.6z(z-300)+0.05z=0.70z-205 | | -9=x+5 | | -3a+2a-8a-10a-3*-2a= | | 11x-34=18 | | 5[9+(3-1)*4]-20*2= | | D-1=-15 | | 4y^2-x^2=1 | | 14x=21+3 | | -3b-12=-5+b | | 100t-t^3=0 |

Equations solver categories