(2x+15)(3x+20)=50

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Solution for (2x+15)(3x+20)=50 equation: 


Simplifying
(2x + 15)(3x + 20) = 50

Reorder the terms:
(15 + 2x)(3x + 20) = 50

Reorder the terms:
(15 + 2x)(20 + 3x) = 50

Multiply (15 + 2x) * (20 + 3x)
(15(20 + 3x) + 2x * (20 + 3x)) = 50
((20 * 15 + 3x * 15) + 2x * (20 + 3x)) = 50
((300 + 45x) + 2x * (20 + 3x)) = 50
(300 + 45x + (20 * 2x + 3x * 2x)) = 50
(300 + 45x + (40x + 6x2)) = 50

Combine like terms: 45x + 40x = 85x
(300 + 85x + 6x2) = 50

Solving
300 + 85x + 6x2 = 50

Solving for variable 'x'.

Reorder the terms:
300 + -50 + 85x + 6x2 = 50 + -50

Combine like terms: 300 + -50 = 250
250 + 85x + 6x2 = 50 + -50

Combine like terms: 50 + -50 = 0
250 + 85x + 6x2 = 0

Factor a trinomial.
(10 + x)(25 + 6x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(25 + 6x)' equal to zero and attempt to solve:

Simplifying
25 + 6x = 0

Solving
25 + 6x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 6x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 6x = 0 + -25
6x = 0 + -25

Combine like terms: 0 + -25 = -25
6x = -25

Divide each side by '6'.
x = -4.166666667

Simplifying
x = -4.166666667
Solution
x = {-10, -4.166666667}

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