(x-3)(x+3)=6x-14

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Solution for (x-3)(x+3)=6x-14 equation: 


Simplifying
(x + -3)(x + 3) = 6x + -14

Reorder the terms:
(-3 + x)(x + 3) = 6x + -14

Reorder the terms:
(-3 + x)(3 + x) = 6x + -14

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = 6x + -14
((3 * -3 + x * -3) + x(3 + x)) = 6x + -14
((-9 + -3x) + x(3 + x)) = 6x + -14
(-9 + -3x + (3 * x + x * x)) = 6x + -14
(-9 + -3x + (3x + x2)) = 6x + -14

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = 6x + -14
(-9 + x2) = 6x + -14

Reorder the terms:
-9 + x2 = -14 + 6x

Solving
-9 + x2 = -14 + 6x

Solving for variable 'x'.

Reorder the terms:
-9 + 14 + -6x + x2 = -14 + 6x + 14 + -6x

Combine like terms: -9 + 14 = 5
5 + -6x + x2 = -14 + 6x + 14 + -6x

Reorder the terms:
5 + -6x + x2 = -14 + 14 + 6x + -6x

Combine like terms: -14 + 14 = 0
5 + -6x + x2 = 0 + 6x + -6x
5 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -6x + x2 = 0

Factor a trinomial.
(1 + -1x)(5 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1, 5}

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