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

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


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

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

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

Multiply (5 + 8x) * (1 + -3x)
(5(1 + -3x) + 8x * (1 + -3x)) = 0
((1 * 5 + -3x * 5) + 8x * (1 + -3x)) = 0
((5 + -15x) + 8x * (1 + -3x)) = 0
(5 + -15x + (1 * 8x + -3x * 8x)) = 0
(5 + -15x + (8x + -24x2)) = 0

Combine like terms: -15x + 8x = -7x
(5 + -7x + -24x2) = 0

Solving
5 + -7x + -24x2 = 0

Solving for variable 'x'.

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


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {0.3333333333, -0.625}

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