(3x-8)(2x+1)=

Simple and best practice solution for (3x-8)(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-8)(2x+1)= equation: 


Simplifying
(3x + -8)(2x + 1) = 0

Reorder the terms:
(-8 + 3x)(2x + 1) = 0

Reorder the terms:
(-8 + 3x)(1 + 2x) = 0

Multiply (-8 + 3x) * (1 + 2x)
(-8(1 + 2x) + 3x * (1 + 2x)) = 0
((1 * -8 + 2x * -8) + 3x * (1 + 2x)) = 0
((-8 + -16x) + 3x * (1 + 2x)) = 0
(-8 + -16x + (1 * 3x + 2x * 3x)) = 0
(-8 + -16x + (3x + 6x2)) = 0

Combine like terms: -16x + 3x = -13x
(-8 + -13x + 6x2) = 0

Solving
-8 + -13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(8 + -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 '(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
Solution
x = {-0.5, 2.666666667}

See similar equations:

| 2x-5=3x/2 | | 6d^2-96= | | 2x=295 | | 5(4x+3)+2(x+6)=3(x+8) | | 7x=4x-13 | | q^2-14q+36= | | 2(-5x+3)+7(3x-1)=0 | | 17a^2-24ac= | | 3(2x+4)=6(x-4)-2(x-1) | | x(x-81)=0 | | -5y+7=-4(2y+2) | | 4p=72x-18720 | | -3(4+x)+3x=6(x+1) | | 6u=-5u-22 | | 1+7x=43 | | (x-1)(x-81)=0 | | X-8+x=10 | | 9(2-2x)=-(7x+1) | | 8y+4(6+y)=3(y-6)+10y | | 26-2n=8 | | 5.3x=39.22 | | x^3+10x^2+32x+32=0 | | 3t-14=18-t | | 5z+22=8z+16 | | 6t-5=7 | | 5.3x=33.22 | | 50=x+3x+6 | | 63-a=5a+27 | | 3d+8=17 | | 8x-131=3x-11 | | 4a+17=2a+21 | | 5y=6x+5 |

Equations solver categories