(2x-3)(x+4)+5(2x-3)=0

Simple and best practice solution for (2x-3)(x+4)+5(2x-3)=0 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 (2x-3)(x+4)+5(2x-3)=0 equation: 


Simplifying
(2x + -3)(x + 4) + 5(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(x + 4) + 5(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(4 + x) + 5(2x + -3) = 0

Multiply (-3 + 2x) * (4 + x)
(-3(4 + x) + 2x * (4 + x)) + 5(2x + -3) = 0
((4 * -3 + x * -3) + 2x * (4 + x)) + 5(2x + -3) = 0
((-12 + -3x) + 2x * (4 + x)) + 5(2x + -3) = 0
(-12 + -3x + (4 * 2x + x * 2x)) + 5(2x + -3) = 0
(-12 + -3x + (8x + 2x2)) + 5(2x + -3) = 0

Combine like terms: -3x + 8x = 5x
(-12 + 5x + 2x2) + 5(2x + -3) = 0

Reorder the terms:
-12 + 5x + 2x2 + 5(-3 + 2x) = 0
-12 + 5x + 2x2 + (-3 * 5 + 2x * 5) = 0
-12 + 5x + 2x2 + (-15 + 10x) = 0

Reorder the terms:
-12 + -15 + 5x + 10x + 2x2 = 0

Combine like terms: -12 + -15 = -27
-27 + 5x + 10x + 2x2 = 0

Combine like terms: 5x + 10x = 15x
-27 + 15x + 2x2 = 0

Solving
-27 + 15x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-9, 1.5}

See similar equations:

| 3-x/7=-2 | | X-72=100 | | 12x+17x+x= | | 54=x-12 | | -3x+5(0)=4 | | 6c+8=14+3c | | 15-x=27 | | 84=x-14 | | F=ms | | 80+.70x=40+.80x | | Solvey+w=xfory | | 67=x-13 | | 1+8p-2p+9=-6p-4+5p | | x-9-13=8 | | 5.75x+5.75(x-2)=92 | | -9+-13+x=8 | | y=9c/x | | 8=9+v | | UK+UZ=TforU | | 3.7x+9=13.69+3x | | 2(-3)-5(-3)=4 | | -4=u+5 | | -163=-3+8(2x-8) | | m/-3=1.32 | | g^2+17g=-72 | | a+c=5 | | 9(x+4)+2(x+4)=6x-6 | | 8d-1/3(6-9d=42 | | a-a=b | | 4x/5-x== | | x-x+x-x+x-x=6 | | axb=b |

Equations solver categories