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

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


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

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

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

Reorder the terms for easier multiplication:
5 * 2(3 + 2x)(3 + 5x) = 0

Multiply 5 * 2
10(3 + 2x)(3 + 5x) = 0

Multiply (3 + 2x) * (3 + 5x)
10(3(3 + 5x) + 2x * (3 + 5x)) = 0
10((3 * 3 + 5x * 3) + 2x * (3 + 5x)) = 0
10((9 + 15x) + 2x * (3 + 5x)) = 0
10(9 + 15x + (3 * 2x + 5x * 2x)) = 0
10(9 + 15x + (6x + 10x2)) = 0

Combine like terms: 15x + 6x = 21x
10(9 + 21x + 10x2) = 0
(9 * 10 + 21x * 10 + 10x2 * 10) = 0
(90 + 210x + 100x2) = 0

Solving
90 + 210x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(9 + 21x + 10x2) = 0

Factor a trinomial.
10((3 + 2x)(3 + 5x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
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
Solution
x = {-1.5, -0.6}

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