(-3x+5)(1x+8)=0

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Solution for (-3x+5)(1x+8)=0 equation: 


Simplifying
(-3x + 5)(1x + 8) = 0

Reorder the terms:
(5 + -3x)(1x + 8) = 0

Reorder the terms:
(5 + -3x)(8 + 1x) = 0

Multiply (5 + -3x) * (8 + 1x)
(5(8 + 1x) + -3x * (8 + 1x)) = 0
((8 * 5 + 1x * 5) + -3x * (8 + 1x)) = 0
((40 + 5x) + -3x * (8 + 1x)) = 0
(40 + 5x + (8 * -3x + 1x * -3x)) = 0
(40 + 5x + (-24x + -3x2)) = 0

Combine like terms: 5x + -24x = -19x
(40 + -19x + -3x2) = 0

Solving
40 + -19x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(8 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

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

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

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

Simplifying
x = -8
Solution
x = {1.666666667, -8}

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