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

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


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

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

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

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

Combine like terms: 8x + -3x = 5x
(-24 + 5x + x2) = 3x

Solving
-24 + 5x + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-24 + 5x + -3x + x2 = 3x + -3x

Combine like terms: 5x + -3x = 2x
-24 + 2x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-6, 4}

See similar equations:

| 8x-64=-60 | | 3x(2x+2)=0 | | 36x+6y-54=0 | | (0.2x^3)+x=400 | | 0+0.20x=1+0.25x | | -3x+51=104 | | 4a+24=58.4 | | (x+25)+25=90 | | -5x-7=8x+7 | | (x+9)(2x-5)=0 | | -24=x^2+10x | | 6(3x+8)=18x+48 | | 5.4=8c-5 | | y=-4(-2.1)-6.5 | | (0.2x^3)+X-400=0 | | 2e-4=11.2 | | y=-4(2.1)-6.5 | | -27=-3x^2 | | -7(x+2)x+7=8x+7 | | y=3tan(x)-2 | | 18+3x=32-5x | | 4x(x-5)=46 | | -4x-6.5=5.4x+13.24 | | X^2+8x+8=4 | | 108=x^2 | | 3[g-1]+7=3g+4 | | 2a+3+5b+6b= | | 3[8-(-8x-6)]=216x-180 | | 1/2x+2/3=13/15 | | -14x^2+224=0 | | 4x-4(0.03x)=79.59 | | 3ab+ab+3c+bc=0 |

Equations solver categories