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

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


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

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

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

Multiply (3 + 8x) * (-8 + x)
0 = (3(-8 + x) + 8x * (-8 + x))
0 = ((-8 * 3 + x * 3) + 8x * (-8 + x))
0 = ((-24 + 3x) + 8x * (-8 + x))
0 = (-24 + 3x + (-8 * 8x + x * 8x))
0 = (-24 + 3x + (-64x + 8x2))

Combine like terms: 3x + -64x = -61x
0 = (-24 + -61x + 8x2)

Solving
0 = -24 + -61x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + 61x + -8x2 = -24 + -61x + 8x2 + 24 + 61x + -8x2

Reorder the terms:
24 + 61x + -8x2 = -24 + 24 + -61x + 61x + 8x2 + -8x2

Combine like terms: -24 + 24 = 0
24 + 61x + -8x2 = 0 + -61x + 61x + 8x2 + -8x2
24 + 61x + -8x2 = -61x + 61x + 8x2 + -8x2

Combine like terms: -61x + 61x = 0
24 + 61x + -8x2 = 0 + 8x2 + -8x2
24 + 61x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
24 + 61x + -8x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 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 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {8, -0.375}

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