(x-8)(6x+3)=-15(x-8)

Simple and best practice solution for (x-8)(6x+3)=-15(x-8) 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 (x-8)(6x+3)=-15(x-8) equation: 


Simplifying
(x + -8)(6x + 3) = -15(x + -8)

Reorder the terms:
(-8 + x)(6x + 3) = -15(x + -8)

Reorder the terms:
(-8 + x)(3 + 6x) = -15(x + -8)

Multiply (-8 + x) * (3 + 6x)
(-8(3 + 6x) + x(3 + 6x)) = -15(x + -8)
((3 * -8 + 6x * -8) + x(3 + 6x)) = -15(x + -8)
((-24 + -48x) + x(3 + 6x)) = -15(x + -8)
(-24 + -48x + (3 * x + 6x * x)) = -15(x + -8)
(-24 + -48x + (3x + 6x2)) = -15(x + -8)

Combine like terms: -48x + 3x = -45x
(-24 + -45x + 6x2) = -15(x + -8)

Reorder the terms:
-24 + -45x + 6x2 = -15(-8 + x)
-24 + -45x + 6x2 = (-8 * -15 + x * -15)
-24 + -45x + 6x2 = (120 + -15x)

Solving
-24 + -45x + 6x2 = 120 + -15x

Solving for variable 'x'.

Reorder the terms:
-24 + -120 + -45x + 15x + 6x2 = 120 + -15x + -120 + 15x

Combine like terms: -24 + -120 = -144
-144 + -45x + 15x + 6x2 = 120 + -15x + -120 + 15x

Combine like terms: -45x + 15x = -30x
-144 + -30x + 6x2 = 120 + -15x + -120 + 15x

Reorder the terms:
-144 + -30x + 6x2 = 120 + -120 + -15x + 15x

Combine like terms: 120 + -120 = 0
-144 + -30x + 6x2 = 0 + -15x + 15x
-144 + -30x + 6x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
-144 + -30x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-24 + -5x + x2) = 0

Factor a trinomial.
6((-3 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 8}

See similar equations:

| 3a-15-6a=85-3a | | 6=7t-2 | | 8x+6y=130 | | -48=32k | | -20-12x= | | 2x+5=20+5 | | 4s+2=4z | | 2n+10+3n=55 | | 6(y+2)+5=35 | | 81=-4-5x | | 20+130+i=180 | | 8y+y=8y-8 | | (x-4)(x+4)=8 | | -2(x-3)=-5-2x | | 2-3(p+1)=5 | | 8-6x=80 | | 180-36-s=120 | | -2(3x+4)+5=-6x+8 | | -8x+4x+20-10x= | | 3r-6= | | 4x-1=-9x+50 | | 5r-2= | | -6-6m=-84 | | (6-18x)-(3x+90)=0 | | 1+1.8x-0.81x^2=0 | | -4(1-5k)+3k=2k+17 | | n^2-144-25=0 | | v^2-v+13= | | 4(9n+2)-(9n-4)=2(6n+8)+1 | | 5(x+3)=4x-(2x+3) | | 9x+10=-143 | | 17+6(7b-8)=172 |

Equations solver categories