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

Simple and best practice solution for (2x+1)(3x-8)=0 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+1)(3x-8)=0 equation: 


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

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

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

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

Combine like terms: 3x + -16x = -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:

| 4x-5=3(x-1) | | 2x-7=x^3-3x^2-x+3 | | (2x+3)(3x-4)=0 | | 288=4x+88 | | x^3-3x^2-3x+10=0 | | 2.5x=22.5 | | (3a-4)(3+6)=0 | | 468/x=117 | | X+4=-18-3x | | y^2=-x^2+9 | | 5x-5=2(2x-5) | | 3a-1a=3 | | 2a+11=3a+15 | | (5x-4)(x+3)=0 | | 3a-1a=3+4 | | 0=x^3-3x^2+5 | | 12y-18=24y+18 | | .11x+1.5=2.49 | | x^3-3x^2-3x-4=0 | | 23-2= | | 2a-3=4-3a | | 1x+4=2x-8 | | x^3-3x^2+8x-30=-6 | | 3(x-xa)+2b=x-aforX | | 8x=-20 | | 2/3f=5 | | 7x-(-8)=57 | | 4x-(-2)=42 | | 70c/70=10000/70 | | 4.5+12= | | 5*2/3 | | 1.5*3= |

Equations solver categories