(2x+4)(-3x+8)=

Simple and best practice solution for (2x+4)(-3x+8)= 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+4)(-3x+8)= equation: 


Simplifying
(2x + 4)(-3x + 8) = 0

Reorder the terms:
(4 + 2x)(-3x + 8) = 0

Reorder the terms:
(4 + 2x)(8 + -3x) = 0

Multiply (4 + 2x) * (8 + -3x)
(4(8 + -3x) + 2x * (8 + -3x)) = 0
((8 * 4 + -3x * 4) + 2x * (8 + -3x)) = 0
((32 + -12x) + 2x * (8 + -3x)) = 0
(32 + -12x + (8 * 2x + -3x * 2x)) = 0
(32 + -12x + (16x + -6x2)) = 0

Combine like terms: -12x + 16x = 4x
(32 + 4x + -6x2) = 0

Solving
32 + 4x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 2x + -3x2) = 0

Factor a trinomial.
2((8 + -3x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {2.666666667, -2}

See similar equations:

| 9x^2+137x+498=0 | | 2B/5-4B/8 | | 2h-1=10t-9h^2 | | x/9+6=8 | | 9(x-4)=7x+-24 | | 9(x-9)=7x+-24 | | 4x+1/3 | | 8x^2+10x+1/2x+1 | | 12-(v/4)=1 | | 2x^2+15s+28=0 | | 8x^2+10x+1/2x+1=0 | | (1/6)(2x+32)=3x | | 24x^2-58x+9=0 | | 8x^2y+34xy-84y=0 | | -w+5w-3=0 | | 180=x+x+5+3x-5 | | 3x+14=-4x | | (10/3x)*3/10=90*3/10 | | lnx+ln(x+1)=0 | | 7x^2-18x+1=0 | | h=-16t^2+105t+3.0 | | 180=x+x-5+3x-5 | | x^2+y^2-10y+1=0 | | X+2y^2+4y-2=0 | | 20r^2+27r-8=0 | | 21x^2-31x+10=0 | | (7/3)*3/7=90*3/7 | | 5p^2=-16p+3 | | 180=x+5+3x-5 | | (8/3)*3/7=90*3/8 | | 4x-4/x+3 | | 9x^2-20x+1=0 |

Equations solver categories