3(x+1)(x-8)-8(x-8)=0

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Solution for 3(x+1)(x-8)-8(x-8)=0 equation: 


Simplifying
3(x + 1)(x + -8) + -8(x + -8) = 0

Reorder the terms:
3(1 + x)(x + -8) + -8(x + -8) = 0

Reorder the terms:
3(1 + x)(-8 + x) + -8(x + -8) = 0

Multiply (1 + x) * (-8 + x)
3(1(-8 + x) + x(-8 + x)) + -8(x + -8) = 0
3((-8 * 1 + x * 1) + x(-8 + x)) + -8(x + -8) = 0
3((-8 + 1x) + x(-8 + x)) + -8(x + -8) = 0
3(-8 + 1x + (-8 * x + x * x)) + -8(x + -8) = 0
3(-8 + 1x + (-8x + x2)) + -8(x + -8) = 0

Combine like terms: 1x + -8x = -7x
3(-8 + -7x + x2) + -8(x + -8) = 0
(-8 * 3 + -7x * 3 + x2 * 3) + -8(x + -8) = 0
(-24 + -21x + 3x2) + -8(x + -8) = 0

Reorder the terms:
-24 + -21x + 3x2 + -8(-8 + x) = 0
-24 + -21x + 3x2 + (-8 * -8 + x * -8) = 0
-24 + -21x + 3x2 + (64 + -8x) = 0

Reorder the terms:
-24 + 64 + -21x + -8x + 3x2 = 0

Combine like terms: -24 + 64 = 40
40 + -21x + -8x + 3x2 = 0

Combine like terms: -21x + -8x = -29x
40 + -29x + 3x2 = 0

Solving
40 + -29x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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 = {1.666666667, 8}

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