(3x+5)(-2x+1)=

Simple and best practice solution for (3x+5)(-2x+1)= 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+5)(-2x+1)= equation: 


Simplifying
(3x + 5)(-2x + 1) = 0

Reorder the terms:
(5 + 3x)(-2x + 1) = 0

Reorder the terms:
(5 + 3x)(1 + -2x) = 0

Multiply (5 + 3x) * (1 + -2x)
(5(1 + -2x) + 3x * (1 + -2x)) = 0
((1 * 5 + -2x * 5) + 3x * (1 + -2x)) = 0
((5 + -10x) + 3x * (1 + -2x)) = 0
(5 + -10x + (1 * 3x + -2x * 3x)) = 0
(5 + -10x + (3x + -6x2)) = 0

Combine like terms: -10x + 3x = -7x
(5 + -7x + -6x2) = 0

Solving
5 + -7x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(5 + 3x) = 0


Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {0.5, -1.666666667}

See similar equations:

| 7w+5=54 | | 2x^3+6x^2+8=0 | | 8x+6=2x+54 | | 3(n+7)=n+8 | | (3x-2y)dy+(6x-4y-3)dx=0 | | 6-3X=8X+1 | | 7m-4=5m-m+35 | | x^3+x+2-24X-24=0 | | 2X+4X=21-X | | 2xy^2+5xy=4 | | 5x+3=x+1 | | x+x+1=-58 | | 1929.60=x+0.072x | | 65-3X=17X | | 12-x^2=48-12x | | (mn+2m-5)+(mn+7)=2mn+2m+2 | | (8y+24)(y^2+4y-12)=0 | | x+x+2+x+4=-63 | | 0=-16t^2+128t+380 | | 15=-2x-21 | | h=-16t^2+128t+380 | | 2(3t-5)=16t+7 | | 3+12x=3+x | | 12z+6=78 | | Lnx=lny | | x+y=490 | | 5x+21=-10 | | x*2+166=x*11-5 | | -3(1w-9)+8w+2= | | -16=5-4x+11x | | x^2+6*x+5=5 | | 2x+2y=980 |

Equations solver categories