(5x+8)(2x-3)=0

Simple and best practice solution for (5x+8)(2x-3)=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 (5x+8)(2x-3)=0 equation: 


Simplifying
(5x + 8)(2x + -3) = 0

Reorder the terms:
(8 + 5x)(2x + -3) = 0

Reorder the terms:
(8 + 5x)(-3 + 2x) = 0

Multiply (8 + 5x) * (-3 + 2x)
(8(-3 + 2x) + 5x * (-3 + 2x)) = 0
((-3 * 8 + 2x * 8) + 5x * (-3 + 2x)) = 0
((-24 + 16x) + 5x * (-3 + 2x)) = 0
(-24 + 16x + (-3 * 5x + 2x * 5x)) = 0
(-24 + 16x + (-15x + 10x2)) = 0

Combine like terms: 16x + -15x = 1x
(-24 + 1x + 10x2) = 0

Solving
-24 + 1x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 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 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.6, 1.5}

See similar equations:

| 0.51x+2=6-0.6x | | 40x+8y+4= | | y=10/2 | | 21=6-5t | | y=-4x^3-4x^2+224x | | 2(4y+7)=62solvey | | 6x^2-6x-12=108 | | 0.02(y-8)+0.12y=0.04y-0.5 | | 8x-50=22 | | A=1/2(27)(16) | | 5x+70y=2300 | | 3(6n+31)+4(n+1)=u | | (9x-1)(6x+3)=0 | | 6r-3r+3=7-r | | 5x+7y=2300 | | 6=38x | | 9x+5x=2300 | | -6x-2-4x+29=-41 | | 4-3X=2X+12 | | x-(9x-10)+11=12x+3(-2+3) | | g(-8)=f(2*-8) | | 8x-(x-4)=3x+4(x+1) | | .6(x+20)+.6x=48 | | -9+2y=-69 | | 8x-(x-4)=3x+3x+4(x+1) | | 3M+14400=R^2 | | 6s+4c=68 | | .2x+6.1=5.2 | | 19=x+25 | | 0.03(4c-92)=-0.6(c-5) | | W/3-6=12 | | 5p-10= |

Equations solver categories