(3x+50)(5x+10)=

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Solution for (3x+50)(5x+10)= equation: 


Simplifying
(3x + 50)(5x + 10) = 0

Reorder the terms:
(50 + 3x)(5x + 10) = 0

Reorder the terms:
(50 + 3x)(10 + 5x) = 0

Multiply (50 + 3x) * (10 + 5x)
(50(10 + 5x) + 3x * (10 + 5x)) = 0
((10 * 50 + 5x * 50) + 3x * (10 + 5x)) = 0
((500 + 250x) + 3x * (10 + 5x)) = 0
(500 + 250x + (10 * 3x + 5x * 3x)) = 0
(500 + 250x + (30x + 15x2)) = 0

Combine like terms: 250x + 30x = 280x
(500 + 280x + 15x2) = 0

Solving
500 + 280x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(100 + 56x + 3x2) = 0

Factor a trinomial.
5((50 + 3x)(2 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(50 + 3x)' equal to zero and attempt to solve:

Simplifying
50 + 3x = 0

Solving
50 + 3x = 0

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

Add '-50' to each side of the equation.
50 + -50 + 3x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 3x = 0 + -50
3x = 0 + -50

Combine like terms: 0 + -50 = -50
3x = -50

Divide each side by '3'.
x = -16.66666667

Simplifying
x = -16.66666667

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {-16.66666667, -2}

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