60=(3+x)(10+x)

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Solution for 60=(3+x)(10+x) equation: 


Simplifying
60 = (3 + x)(10 + x)

Multiply (3 + x) * (10 + x)
60 = (3(10 + x) + x(10 + x))
60 = ((10 * 3 + x * 3) + x(10 + x))
60 = ((30 + 3x) + x(10 + x))
60 = (30 + 3x + (10 * x + x * x))
60 = (30 + 3x + (10x + x2))

Combine like terms: 3x + 10x = 13x
60 = (30 + 13x + x2)

Solving
60 = 30 + 13x + x2

Solving for variable 'x'.

Combine like terms: 60 + -30 = 30
30 + -13x + -1x2 = 30 + 13x + x2 + -30 + -13x + -1x2

Reorder the terms:
30 + -13x + -1x2 = 30 + -30 + 13x + -13x + x2 + -1x2

Combine like terms: 30 + -30 = 0
30 + -13x + -1x2 = 0 + 13x + -13x + x2 + -1x2
30 + -13x + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
30 + -13x + -1x2 = 0 + x2 + -1x2
30 + -13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -13x + -1x2 = 0

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


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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

Simplifying
15 + x = 0

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

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

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

Simplifying
x = -15
Solution
x = {2, -15}

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