(5x-6)(3x+8)=0

Simple and best practice solution for (5x-6)(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 (5x-6)(3x+8)=0 equation: 


Simplifying
(5x + -6)(3x + 8) = 0

Reorder the terms:
(-6 + 5x)(3x + 8) = 0

Reorder the terms:
(-6 + 5x)(8 + 3x) = 0

Multiply (-6 + 5x) * (8 + 3x)
(-6(8 + 3x) + 5x * (8 + 3x)) = 0
((8 * -6 + 3x * -6) + 5x * (8 + 3x)) = 0
((-48 + -18x) + 5x * (8 + 3x)) = 0
(-48 + -18x + (8 * 5x + 3x * 5x)) = 0
(-48 + -18x + (40x + 15x2)) = 0

Combine like terms: -18x + 40x = 22x
(-48 + 22x + 15x2) = 0

Solving
-48 + 22x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-2.666666667, 1.2}

See similar equations:

| 2b-(-14)= | | 12(v+1)-4v=4(2v+1)-5 | | 30x^3-20x^2=10x | | A+4-3a-2a-8=32 | | 72=12s | | a+9=8[a-(2-a)] | | 12(v+1)-4v=4(2x+1)-5 | | x/7+2=6 | | x-2x-1=8-3x-3 | | -0.3(x-2)+x-0.5(3-x)= | | 18x^2-45x-50=0 | | 5x=7.25 | | -4-5-6= | | 7t-t=66 | | 3(2w-7)=3 | | -0.3(x-2)+x=0 | | 3.5-2s-1.8=-1.3 | | 2x=4.6 | | z+3.7=4.8 | | 3-y=90 | | 3y-15=30 | | 4x+4+5x+2x+12=20+3x+10+x | | 3x-x=72 | | x+1.5=2.8 | | 5-4x-9=4x+60 | | 48=13y-7y | | 4w-16=-24 | | (-2)-8= | | 3m+5=26 | | 0.9x-1.2=2.4 | | -2.7x-1.7=-1.2 | | 2a^2=a+15 |

Equations solver categories