7=x(-13+x)-11+6x

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Solution for 7=x(-13+x)-11+6x equation: 


Simplifying
7 = x(-13 + x) + -11 + 6x
7 = (-13 * x + x * x) + -11 + 6x
7 = (-13x + x2) + -11 + 6x

Reorder the terms:
7 = -11 + -13x + 6x + x2

Combine like terms: -13x + 6x = -7x
7 = -11 + -7x + x2

Solving
7 = -11 + -7x + x2

Solving for variable 'x'.

Combine like terms: 7 + 11 = 18
18 + 7x + -1x2 = -11 + -7x + x2 + 11 + 7x + -1x2

Reorder the terms:
18 + 7x + -1x2 = -11 + 11 + -7x + 7x + x2 + -1x2

Combine like terms: -11 + 11 = 0
18 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2
18 + 7x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
18 + 7x + -1x2 = 0 + x2 + -1x2
18 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 7x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {9, -2}

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