(2x+15)(x-1)=30

Solution for (2x+15)(x-1)=30 equation:

Simplifying
(2x + 15)(x + -1) = 30

Reorder the terms:
(15 + 2x)(x + -1) = 30

Reorder the terms:
(15 + 2x)(-1 + x) = 30

Multiply (15 + 2x) * (-1 + x)
(15(-1 + x) + 2x * (-1 + x)) = 30
((-1 * 15 + x * 15) + 2x * (-1 + x)) = 30
((-15 + 15x) + 2x * (-1 + x)) = 30
(-15 + 15x + (-1 * 2x + x * 2x)) = 30
(-15 + 15x + (-2x + 2x2)) = 30

Combine like terms: 15x + -2x = 13x
(-15 + 13x + 2x2) = 30

Solving
-15 + 13x + 2x2 = 30

Solving for variable 'x'.

Reorder the terms:
-15 + -30 + 13x + 2x2 = 30 + -30

Combine like terms: -15 + -30 = -45
-45 + 13x + 2x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-45 + 13x + 2x2 = 0

Factor a trinomial.
(-9 + -1x)(5 + -2x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-9, 2.5}