6(6+15)=x(x+5)

Solution for 6(6+15)=x(x+5) equation:

Simplifying
6(6 + 15) = x(x + 5)

Combine like terms: 6 + 15 = 21
6(21) = x(x + 5)

Multiply 6 * 21
126 = x(x + 5)

Reorder the terms:
126 = x(5 + x)
126 = (5 * x + x * x)
126 = (5x + x2)

Solving
126 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
126 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
126 + -5x + -1x2 = 0 + x2 + -1x2
126 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
126 + -5x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(14 + x) = 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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {9, -14}