(5x+3-2)(8-2x+1)=

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Solution for (5x+3-2)(8-2x+1)= equation: 


Simplifying
(5x + 3 + -2)(8 + -2x + 1) = 0

Reorder the terms:
(3 + -2 + 5x)(8 + -2x + 1) = 0

Combine like terms: 3 + -2 = 1
(1 + 5x)(8 + -2x + 1) = 0

Reorder the terms:
(1 + 5x)(8 + 1 + -2x) = 0

Combine like terms: 8 + 1 = 9
(1 + 5x)(9 + -2x) = 0

Multiply (1 + 5x) * (9 + -2x)
(1(9 + -2x) + 5x * (9 + -2x)) = 0
((9 * 1 + -2x * 1) + 5x * (9 + -2x)) = 0
((9 + -2x) + 5x * (9 + -2x)) = 0
(9 + -2x + (9 * 5x + -2x * 5x)) = 0
(9 + -2x + (45x + -10x2)) = 0

Combine like terms: -2x + 45x = 43x
(9 + 43x + -10x2) = 0

Solving
9 + 43x + -10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -2x)(1 + 5x) = 0


Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {4.5, -0.2}

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