(3x-10)(2x+15)=

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Solution for (3x-10)(2x+15)= equation: 


Simplifying
(3x + -10)(2x + 15) = 0

Reorder the terms:
(-10 + 3x)(2x + 15) = 0

Reorder the terms:
(-10 + 3x)(15 + 2x) = 0

Multiply (-10 + 3x) * (15 + 2x)
(-10(15 + 2x) + 3x * (15 + 2x)) = 0
((15 * -10 + 2x * -10) + 3x * (15 + 2x)) = 0
((-150 + -20x) + 3x * (15 + 2x)) = 0
(-150 + -20x + (15 * 3x + 2x * 3x)) = 0
(-150 + -20x + (45x + 6x2)) = 0

Combine like terms: -20x + 45x = 25x
(-150 + 25x + 6x2) = 0

Solving
-150 + 25x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -2x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve:

Simplifying
-15 + -2x = 0

Solving
-15 + -2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 0 + 15
-2x = 0 + 15

Combine like terms: 0 + 15 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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 = {-7.5, 3.333333333}

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