(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:

| 10x=3(x-21) | | 3x^4-31x^2+28=0 | | 36-x=7 | | -15a^4(-2a^5)= | | 11x^4-37x^2+26=0 | | (x-1)+(x-2)+x=0 | | 5y^4(3y^7)= | | 6x-24=3x | | 9+6x=69 | | 2(x-3)-3x=-5 | | 5p^2+40p+100=25 | | 16-n=-6n+3n | | 15x+3y+20+(-y)= | | -6=5k-8k | | 9(x+9)=135 | | 4+7(x-12)=-38 | | -5(x-3)=6-2x | | 0.2x+1.5=0.5x-3.6 | | x*x^2-61=192 | | -4(x-7)=16 | | x^4-61=192 | | 6+7(x-7)=-15 | | x-5=-(5-4x) | | A+3=8 | | t^5-256t=0 | | b^4=9 | | 5q^2-6pq-5q+6p= | | 6(5k-8)-20=-3(5-9x)+2 | | 6y-18+xy-3x= | | s^2-s-3=s | | -3(4+x)=15 | | (8m^2+4m-7)-(2m^2-5m+2)= |

Equations solver categories