4x(x+3)=3x+9

Simple and best practice solution for 4x(x+3)=3x+9 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+3)=3x+9 equation: 


Simplifying
4x(x + 3) = 3x + 9

Reorder the terms:
4x(3 + x) = 3x + 9
(3 * 4x + x * 4x) = 3x + 9
(12x + 4x2) = 3x + 9

Reorder the terms:
12x + 4x2 = 9 + 3x

Solving
12x + 4x2 = 9 + 3x

Solving for variable 'x'.

Reorder the terms:
-9 + 12x + -3x + 4x2 = 9 + 3x + -9 + -3x

Combine like terms: 12x + -3x = 9x
-9 + 9x + 4x2 = 9 + 3x + -9 + -3x

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

Combine like terms: 9 + -9 = 0
-9 + 9x + 4x2 = 0 + 3x + -3x
-9 + 9x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 9x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(3 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-3, 0.75}

See similar equations:

| s-9=9 | | (8x+9)(8x+9)= | | 8(t-6)+7t=5(3t+3)-8 | | 6x+2=-28x | | 0.10x+0.5(12-x)=.10(1) | | 4x(x+2)=3x+9 | | (b+6)(b-4)= | | 175=(25)(7)+b | | 3(2m+5)-12= | | 4x^3+23x^2+34x-10=0 | | 2x-5-3x-4= | | 0.90x+.05(2-x)=.10(-67) | | (5t^2-t-7)(2t^2+5t-1)= | | 14-3/5= | | 4(-2r+3)-2(1-6r)= | | 3x+7=49 | | (8t^2-t-5)(4t^2+8t-1)= | | x^2-13y^2=101 | | 130=14a-10 | | 1.3-5=5.4 | | 16a+10=90 | | -3x-4=-22 | | 5x-10=50-x | | 5(x-2)-8x=-24 | | 0.5s=10 | | (4x-5)(x^2-3x+3)= | | 6x^2-16x+5=0 | | (3x-5)(x^2-2x+6)= | | 4x-1=20-30 | | v^2-v-42= | | absolute(x^2-1)=0 | | 4x-1=2-30 |

Equations solver categories