3x^2-2x-24=x(2x+3)

Simple and best practice solution for 3x^2-2x-24=x(2x+3) 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^2-2x-24=x(2x+3) equation: 


Simplifying
3x2 + -2x + -24 = x(2x + 3)

Reorder the terms:
-24 + -2x + 3x2 = x(2x + 3)

Reorder the terms:
-24 + -2x + 3x2 = x(3 + 2x)
-24 + -2x + 3x2 = (3 * x + 2x * x)
-24 + -2x + 3x2 = (3x + 2x2)

Solving
-24 + -2x + 3x2 = 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
-24 + -2x + -3x + 3x2 + -2x2 = 3x + 2x2 + -3x + -2x2

Combine like terms: -2x + -3x = -5x
-24 + -5x + 3x2 + -2x2 = 3x + 2x2 + -3x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-24 + -5x + 1x2 = 3x + 2x2 + -3x + -2x2

Reorder the terms:
-24 + -5x + 1x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
-24 + -5x + 1x2 = 0 + 2x2 + -2x2
-24 + -5x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-24 + -5x + 1x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 8}

See similar equations:

| (25x^2)+81=90*x | | 2x^2+8y^2=72 | | 56=x^3 | | -4(-3)= | | (9n^2)+6n=3 | | y=6.8(1.03)x | | y=2x^3+3x^2-12x+7 | | 2x+4y=2x | | (y^2)+4y=45 | | 4-8h-6h=60 | | 0.6(2x+2)=0.1(2x+5) | | 3a-1=15+a | | 3-2k=5k | | 4x^2+3=12x-6 | | (12b^2)-8b=0 | | 20x^2+7x=0 | | 2x^2+16=48 | | $$$$$= | | Log(11)(x-8)-10=-8 | | 6x=34250 | | -66+8x=x+25 | | 2.76x=0.23 | | x+3+8=2-8x | | 8x-1=3(2x+3) | | (2*x)+(3*x)+(4*x)+(6*x)=65 | | 6t+4=3t+16 | | (1[9+u]1)(1[5u+4]1)=0 | | 6x+7.2=2(4x-3.4) | | 2(z-1)=4(z-2) | | M^2+2m=24 | | x^2-6.5x-12= | | (3x+4)(2x-8)=0 |

Equations solver categories