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

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


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

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

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

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

Multiply (3 + 2x) * (-5 + 4x)
x(3(-5 + 4x) + 2x * (-5 + 4x)) = 0
x((-5 * 3 + 4x * 3) + 2x * (-5 + 4x)) = 0
x((-15 + 12x) + 2x * (-5 + 4x)) = 0
x(-15 + 12x + (-5 * 2x + 4x * 2x)) = 0
x(-15 + 12x + (-10x + 8x2)) = 0

Combine like terms: 12x + -10x = 2x
x(-15 + 2x + 8x2) = 0
(-15 * x + 2x * x + 8x2 * x) = 0
(-15x + 2x2 + 8x3) = 0

Solving
-15x + 2x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 2x + 8x2) = 0

Factor a trinomial.
x((-3 + -2x)(5 + -4x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, -1.5, 1.25}

See similar equations:

| 6+6x+28-7x=41 | | (2b-1)-7=6b-10 | | 15(x-3)+28=7(x+1) | | 3(x-1)+4x=-5 | | 0.6b=13.02 | | 13z=2(8z+19)+4 | | 3p+6p+10= | | -5(-4+u)=-(2+3u) | | 8x+12x+12x-15= | | x+5y=82 | | -2.97-18.2y+10.31=-17.9y+10.94 | | 19=5x+3.5y | | 4+2*(2+2)= | | 14n-(9n-29)= | | 5-7m+2m=9+9m+7 | | x^2+21-5x=0 | | -9(x+7)=2X+14 | | 3(3+x)=15+x | | -3-5=-14 | | 8d+17.93=-15.27+6d | | 12/11=p12 | | (x-1)2+(y-6)2=25 | | 0.5=(7/(2*k)) | | 3n-5(n+2)=3(2n-2)+9 | | 3(x-2)*2+4=31 | | 11.7-8.5j-8.06=-16.93-9.6j | | 3/2r-1=1/2r | | Y=-3y+11 | | 0.5=[7/(2k)] | | (10b-8)-3(3b+4)=-6 | | 6*-4=3 | | 0.5=7/2k |

Equations solver categories