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

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


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

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

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

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

Combine like terms: 5x + 15x = 20x
(5 + 20x + 15x2) = 0

Solving
5 + 20x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + 4x + 3x2) = 0

Factor a trinomial.
5((1 + x)(1 + 3x)) = 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 '(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
Solution
x = {-1, -0.3333333333}

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