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

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


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

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

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

Multiply (3 + 5x) * (2 + 5x)
(3(2 + 5x) + 5x * (2 + 5x)) = 0
((2 * 3 + 5x * 3) + 5x * (2 + 5x)) = 0
((6 + 15x) + 5x * (2 + 5x)) = 0
(6 + 15x + (2 * 5x + 5x * 5x)) = 0
(6 + 15x + (10x + 25x2)) = 0

Combine like terms: 15x + 10x = 25x
(6 + 25x + 25x2) = 0

Solving
6 + 25x + 25x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.6, -0.4}

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