(2x+5)(3x+3)=

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


Simplifying
(2x + 5)(3x + 3) = 0

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

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

Multiply (5 + 2x) * (3 + 3x)
(5(3 + 3x) + 2x * (3 + 3x)) = 0
((3 * 5 + 3x * 5) + 2x * (3 + 3x)) = 0
((15 + 15x) + 2x * (3 + 3x)) = 0
(15 + 15x + (3 * 2x + 3x * 2x)) = 0
(15 + 15x + (6x + 6x2)) = 0

Combine like terms: 15x + 6x = 21x
(15 + 21x + 6x2) = 0

Solving
15 + 21x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 7x + 2x2) = 0

Factor a trinomial.
3((5 + 2x)(1 + x)) = 0

Ignore the factor 3.

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, -1}

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