(5-3x)(8+7x)=

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Solution for (5-3x)(8+7x)= equation: 


Simplifying
(5 + -3x)(8 + 7x) = 0

Multiply (5 + -3x) * (8 + 7x)
(5(8 + 7x) + -3x * (8 + 7x)) = 0
((8 * 5 + 7x * 5) + -3x * (8 + 7x)) = 0
((40 + 35x) + -3x * (8 + 7x)) = 0
(40 + 35x + (8 * -3x + 7x * -3x)) = 0
(40 + 35x + (-24x + -21x2)) = 0

Combine like terms: 35x + -24x = 11x
(40 + 11x + -21x2) = 0

Solving
40 + 11x + -21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(8 + 7x) = 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 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 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 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143
Solution
x = {1.666666667, -1.142857143}

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