10*18=x*(x+3)

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Solution for 10*18=x*(x+3) equation: 


Simplifying
10 * 18 = x(x + 3)

Multiply 10 * 18
180 = x(x + 3)

Reorder the terms:
180 = x(3 + x)
180 = (3 * x + x * x)
180 = (3x + x2)

Solving
180 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
180 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
180 + -3x + -1x2 = 0 + x2 + -1x2
180 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + -3x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(15 + x) = 0


Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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 = {12, -15}

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