(2x+25)(3x+10)=

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Solution for (2x+25)(3x+10)= equation: 


Simplifying
(2x + 25)(3x + 10) = 0

Reorder the terms:
(25 + 2x)(3x + 10) = 0

Reorder the terms:
(25 + 2x)(10 + 3x) = 0

Multiply (25 + 2x) * (10 + 3x)
(25(10 + 3x) + 2x * (10 + 3x)) = 0
((10 * 25 + 3x * 25) + 2x * (10 + 3x)) = 0
((250 + 75x) + 2x * (10 + 3x)) = 0
(250 + 75x + (10 * 2x + 3x * 2x)) = 0
(250 + 75x + (20x + 6x2)) = 0

Combine like terms: 75x + 20x = 95x
(250 + 95x + 6x2) = 0

Solving
250 + 95x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + 2x)(10 + 3x) = 0


Subproblem 1
Set the factor '(25 + 2x)' equal to zero and attempt to solve:

Simplifying
25 + 2x = 0

Solving
25 + 2x = 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 + 2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 0 + -25
2x = 0 + -25

Combine like terms: 0 + -25 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

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

Simplifying
10 + 3x = 0

Solving
10 + 3x = 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 + 3x = 0 + -10

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {-12.5, -3.333333333}

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