-3x(x-8)=5x+16

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Solution for -3x(x-8)=5x+16 equation: 


Simplifying
-3x(x + -8) = 5x + 16

Reorder the terms:
-3x(-8 + x) = 5x + 16
(-8 * -3x + x * -3x) = 5x + 16
(24x + -3x2) = 5x + 16

Reorder the terms:
24x + -3x2 = 16 + 5x

Solving
24x + -3x2 = 16 + 5x

Solving for variable 'x'.

Reorder the terms:
-16 + 24x + -5x + -3x2 = 16 + 5x + -16 + -5x

Combine like terms: 24x + -5x = 19x
-16 + 19x + -3x2 = 16 + 5x + -16 + -5x

Reorder the terms:
-16 + 19x + -3x2 = 16 + -16 + 5x + -5x

Combine like terms: 16 + -16 = 0
-16 + 19x + -3x2 = 0 + 5x + -5x
-16 + 19x + -3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 19x + -3x2 = 0

Factor a trinomial.
(-16 + 3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-16 + 3x)' equal to zero and attempt to solve:

Simplifying
-16 + 3x = 0

Solving
-16 + 3x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 0 + 16
3x = 0 + 16

Combine like terms: 0 + 16 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {5.333333333, 1}

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