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

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


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

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

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

Multiply (8 + 3x) * (-1 + 8x)
(8(-1 + 8x) + 3x * (-1 + 8x)) = 0
((-1 * 8 + 8x * 8) + 3x * (-1 + 8x)) = 0
((-8 + 64x) + 3x * (-1 + 8x)) = 0
(-8 + 64x + (-1 * 3x + 8x * 3x)) = 0
(-8 + 64x + (-3x + 24x2)) = 0

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

Solving
-8 + 61x + 24x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

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

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

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

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 0 + -1

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-2.666666667, 0.125}

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