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

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


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

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

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

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

Combine like terms: 8x + 40x = 48x
(8 + 48x + 40x2) = 0

Solving
8 + 48x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + 6x + 5x2) = 0

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

Ignore the factor 8.

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1

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 = {-1, -0.2}

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