(3x+8)(4x-5)=0

Simple and best practice solution for (3x+8)(4x-5)=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 (3x+8)(4x-5)=0 equation: 


Simplifying
(3x + 8)(4x + -5) = 0

Reorder the terms:
(8 + 3x)(4x + -5) = 0

Reorder the terms:
(8 + 3x)(-5 + 4x) = 0

Multiply (8 + 3x) * (-5 + 4x)
(8(-5 + 4x) + 3x * (-5 + 4x)) = 0
((-5 * 8 + 4x * 8) + 3x * (-5 + 4x)) = 0
((-40 + 32x) + 3x * (-5 + 4x)) = 0
(-40 + 32x + (-5 * 3x + 4x * 3x)) = 0
(-40 + 32x + (-15x + 12x2)) = 0

Combine like terms: 32x + -15x = 17x
(-40 + 17x + 12x2) = 0

Solving
-40 + 17x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(5 + -4x) = 0


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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-2.666666667, 1.25}

See similar equations:

| 6d^2-6d+1=0 | | 3x-(11/4)=3/2 | | Sin50=x/110 | | 3x-11/4=3/2 | | 3x-11/4=3=2 | | 5x-2x+7=13 | | 7v^2-8v-3=0 | | 2.5x+8=24 | | v=3.14×3^2×8/3 | | 2n^2-6n+4=0 | | 7x+-19=-2 | | 0=4x^2+31x+21 | | 1.4x+3.4=7.4 | | 940=13a+9c | | 5h^2+h-7=0 | | Cos45=4/x | | 2y+3.6=4.8 | | 49=7w/5 | | 3n*4=1 | | 6m^2-32m-24=0 | | 7w/5=49 | | -8x+5(-3x-5)=13 | | 6k^2-4K-8=0 | | 6m(m-6)=4(6-m) | | m^2=56m-m^3 | | 12x^2-20x-8= | | e^5=6x | | 5n+10n-40=0 | | X^2+3X=4X+20 | | Log(2v)=log(5v-9) | | 4*2*3=109 | | ln(7x^3/y^2 |

Equations solver categories