2(x+15)=9x+2(x^2-15)

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Solution for 2(x+15)=9x+2(x^2-15) equation: 


Simplifying
2(x + 15) = 9x + 2(x2 + -15)

Reorder the terms:
2(15 + x) = 9x + 2(x2 + -15)
(15 * 2 + x * 2) = 9x + 2(x2 + -15)
(30 + 2x) = 9x + 2(x2 + -15)

Reorder the terms:
30 + 2x = 9x + 2(-15 + x2)
30 + 2x = 9x + (-15 * 2 + x2 * 2)
30 + 2x = 9x + (-30 + 2x2)

Reorder the terms:
30 + 2x = -30 + 9x + 2x2

Solving
30 + 2x = -30 + 9x + 2x2

Solving for variable 'x'.

Reorder the terms:
30 + 30 + 2x + -9x + -2x2 = -30 + 9x + 2x2 + 30 + -9x + -2x2

Combine like terms: 30 + 30 = 60
60 + 2x + -9x + -2x2 = -30 + 9x + 2x2 + 30 + -9x + -2x2

Combine like terms: 2x + -9x = -7x
60 + -7x + -2x2 = -30 + 9x + 2x2 + 30 + -9x + -2x2

Reorder the terms:
60 + -7x + -2x2 = -30 + 30 + 9x + -9x + 2x2 + -2x2

Combine like terms: -30 + 30 = 0
60 + -7x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2
60 + -7x + -2x2 = 9x + -9x + 2x2 + -2x2

Combine like terms: 9x + -9x = 0
60 + -7x + -2x2 = 0 + 2x2 + -2x2
60 + -7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
60 + -7x + -2x2 = 0

Factor a trinomial.
(4 + -1x)(15 + 2x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
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
Solution
x = {4, -7.5}

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