(15x+5)(10x+25)=

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Solution for (15x+5)(10x+25)= equation: 


Simplifying
(15x + 5)(10x + 25) = 0

Reorder the terms:
(5 + 15x)(10x + 25) = 0

Reorder the terms:
(5 + 15x)(25 + 10x) = 0

Multiply (5 + 15x) * (25 + 10x)
(5(25 + 10x) + 15x * (25 + 10x)) = 0
((25 * 5 + 10x * 5) + 15x * (25 + 10x)) = 0
((125 + 50x) + 15x * (25 + 10x)) = 0
(125 + 50x + (25 * 15x + 10x * 15x)) = 0
(125 + 50x + (375x + 150x2)) = 0

Combine like terms: 50x + 375x = 425x
(125 + 425x + 150x2) = 0

Solving
125 + 425x + 150x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(5 + 17x + 6x2) = 0

Factor a trinomial.
25((5 + 2x)(1 + 3x)) = 0

Ignore the factor 25.

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 + 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 = {-2.5, -0.3333333333}

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