3x(x-3)-2x(x+5)=-60

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Solution for 3x(x-3)-2x(x+5)=-60 equation: 


Simplifying
3x(x + -3) + -2x(x + 5) = -60

Reorder the terms:
3x(-3 + x) + -2x(x + 5) = -60
(-3 * 3x + x * 3x) + -2x(x + 5) = -60
(-9x + 3x2) + -2x(x + 5) = -60

Reorder the terms:
-9x + 3x2 + -2x(5 + x) = -60
-9x + 3x2 + (5 * -2x + x * -2x) = -60
-9x + 3x2 + (-10x + -2x2) = -60

Reorder the terms:
-9x + -10x + 3x2 + -2x2 = -60

Combine like terms: -9x + -10x = -19x
-19x + 3x2 + -2x2 = -60

Combine like terms: 3x2 + -2x2 = 1x2
-19x + 1x2 = -60

Solving
-19x + 1x2 = -60

Solving for variable 'x'.

Reorder the terms:
60 + -19x + 1x2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + -19x + 1x2 = 0

Factor a trinomial.
(4 + -1x)(15 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {4, 15}

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