(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 = 55x
(-250 + 55x + 6x2) = 0

Solving
-250 + 55x + 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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