(5x-8)(3x+9)=0

Simple and best practice solution for (5x-8)(3x+9)=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)(3x+9)=0 equation: 


Simplifying
(5x + -8)(3x + 9) = 0

Reorder the terms:
(-8 + 5x)(3x + 9) = 0

Reorder the terms:
(-8 + 5x)(9 + 3x) = 0

Multiply (-8 + 5x) * (9 + 3x)
(-8(9 + 3x) + 5x * (9 + 3x)) = 0
((9 * -8 + 3x * -8) + 5x * (9 + 3x)) = 0
((-72 + -24x) + 5x * (9 + 3x)) = 0
(-72 + -24x + (9 * 5x + 3x * 5x)) = 0
(-72 + -24x + (45x + 15x2)) = 0

Combine like terms: -24x + 45x = 21x
(-72 + 21x + 15x2) = 0

Solving
-72 + 21x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 7x + 5x2) = 0

Factor a trinomial.
3((-3 + -1x)(8 + -5x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
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
Solution
x = {-3, 1.6}

See similar equations:

| 8+-2m= | | 1a+0.8=-0.8+3.86 | | 5(90x-7)=x-126 | | -257+j=32-88 | | 7g+70= | | 5(6-4)=8(h+32) | | 8(x^2)-2=0 | | 7-3n=13 | | .25x+.15=100+.19 | | 3k-5=49 | | 33+3w= | | (r^3+3r^2+12r+10)=0 | | v-45=67 | | 5x-(2x+9)=10-2(2x-1) | | .25+.15=100+.19 | | 9=-7y+3x | | (4x^2+9)(2x-3)(2x-3)=0 | | 4x+5(3x+5)=177 | | 1200-25x=500 | | (3d-24)-5=(9d+18)+1 | | -.5(n^2+4)=0 | | -24+k=0 | | 3x-(4v-u)=3(4x-6u) | | 3(6+9)(5-4)=8(x-34) | | 3(2x+3)7x+27+13x=32 | | -(x-2)=x+7 | | a+ny=n | | 7x+3(-2x-9)=92 | | 1n-1.2=-1.8n+3.84 | | -12x-4(-3)=-12 | | 23-5x=3x-57 | | (0.7d+1)(1.5d-2)=(2.5+d)(4-1.3d) |

Equations solver categories