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

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


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

Reorder the terms:
(-3 + x)(x + 3) = 5x + 5

Reorder the terms:
(-3 + x)(3 + x) = 5x + 5

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = 5x + 5
((3 * -3 + x * -3) + x(3 + x)) = 5x + 5
((-9 + -3x) + x(3 + x)) = 5x + 5
(-9 + -3x + (3 * x + x * x)) = 5x + 5
(-9 + -3x + (3x + x2)) = 5x + 5

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = 5x + 5
(-9 + x2) = 5x + 5

Reorder the terms:
-9 + x2 = 5 + 5x

Solving
-9 + x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
-9 + -5 + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: -9 + -5 = -14
-14 + -5x + x2 = 5 + 5x + -5 + -5x

Reorder the terms:
-14 + -5x + x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
-14 + -5x + x2 = 0 + 5x + -5x
-14 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-2, 7}

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