4x(x+1)-3x(x+3)=-6

Simple and best practice solution for 4x(x+1)-3x(x+3)=-6 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(x+1)-3x(x+3)=-6 equation: 


Simplifying
4x(x + 1) + -3x(x + 3) = -6

Reorder the terms:
4x(1 + x) + -3x(x + 3) = -6
(1 * 4x + x * 4x) + -3x(x + 3) = -6
(4x + 4x2) + -3x(x + 3) = -6

Reorder the terms:
4x + 4x2 + -3x(3 + x) = -6
4x + 4x2 + (3 * -3x + x * -3x) = -6
4x + 4x2 + (-9x + -3x2) = -6

Reorder the terms:
4x + -9x + 4x2 + -3x2 = -6

Combine like terms: 4x + -9x = -5x
-5x + 4x2 + -3x2 = -6

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

Solving
-5x + 1x2 = -6

Solving for variable 'x'.

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

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

Factor a trinomial.
(2 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2, 3}

See similar equations:

| 9-9x=204-44x | | 8(4x+1)=104 | | x+x=-112 | | -64+3x=11x+88 | | -5-2(6n+2)=-81 | | y=2(x+3)(x-1) | | x+x=86 | | (v+7)/(6v+18) | | 8(4a-5)+7=127 | | x+x+x=-17 | | y=3(-4)-5 | | 2(v-1)=2v-2 | | y=-3x^2+15x+42 | | 3x-5-104=180 | | 3x-5+104=180 | | n^2=18-7n | | 4t+1=4t+3 | | p-1=5p+2p-8 | | =655.096+9.563*55+1.85*172-4.676*70 | | 1000=655.096+9.563*55+1.85*172-4.676*70 | | (a+5)(2a-7)=0 | | 133-7x=20x+19 | | 7x-11=39 | | 5-2x=5x+3 | | 27-11=x-33 | | 134-3x=33x+18 | | x(x-7)=2x-8 | | 3k=2k+k | | 12x-8x=1500 | | 12-8=1500 | | 10x-4x=35x | | 44b*36a=241b+a |

Equations solver categories