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

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


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

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

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

Multiply (5 + 5x) * (5 + 8x)
(5(5 + 8x) + 5x * (5 + 8x)) = 0
((5 * 5 + 8x * 5) + 5x * (5 + 8x)) = 0
((25 + 40x) + 5x * (5 + 8x)) = 0
(25 + 40x + (5 * 5x + 8x * 5x)) = 0
(25 + 40x + (25x + 40x2)) = 0

Combine like terms: 40x + 25x = 65x
(25 + 65x + 40x2) = 0

Solving
25 + 65x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 13x + 8x2) = 0

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

Ignore the factor 5.

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 '(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 = {-1, -0.625}

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