(10X+3)(3X+5)=

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Solution for (10X+3)(3X+5)= equation: 


Simplifying
(10X + 3)(3X + 5) = 0

Reorder the terms:
(3 + 10X)(3X + 5) = 0

Reorder the terms:
(3 + 10X)(5 + 3X) = 0

Multiply (3 + 10X) * (5 + 3X)
(3(5 + 3X) + 10X * (5 + 3X)) = 0
((5 * 3 + 3X * 3) + 10X * (5 + 3X)) = 0
((15 + 9X) + 10X * (5 + 3X)) = 0
(15 + 9X + (5 * 10X + 3X * 10X)) = 0
(15 + 9X + (50X + 30X2)) = 0

Combine like terms: 9X + 50X = 59X
(15 + 59X + 30X2) = 0

Solving
15 + 59X + 30X2 = 0

Solving for variable 'X'.

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


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

Simplifying
5 + 3X = 0

Solving
5 + 3X = 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 + 3X = 0 + -5

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

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

Divide each side by '3'.
X = -1.666666667

Simplifying
X = -1.666666667

Subproblem 2
Set the factor '(3 + 10X)' equal to zero and attempt to solve:

Simplifying
3 + 10X = 0

Solving
3 + 10X = 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 + 10X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10X = 0 + -3
10X = 0 + -3

Combine like terms: 0 + -3 = -3
10X = -3

Divide each side by '10'.
X = -0.3

Simplifying
X = -0.3
Solution
X = {-1.666666667, -0.3}

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