(x+3)(x-3)-(x-3)2=

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Solution for (x+3)(x-3)-(x-3)2= equation:


Simplifying
(x + 3)(x + -3) + -1(x + -3) * 2 = 0

Reorder the terms:
(3 + x)(x + -3) + -1(x + -3) * 2 = 0

Reorder the terms:
(3 + x)(-3 + x) + -1(x + -3) * 2 = 0

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) + -1(x + -3) * 2 = 0
((-3 * 3 + x * 3) + x(-3 + x)) + -1(x + -3) * 2 = 0
((-9 + 3x) + x(-3 + x)) + -1(x + -3) * 2 = 0
(-9 + 3x + (-3 * x + x * x)) + -1(x + -3) * 2 = 0
(-9 + 3x + (-3x + x2)) + -1(x + -3) * 2 = 0

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) + -1(x + -3) * 2 = 0
(-9 + x2) + -1(x + -3) * 2 = 0

Reorder the terms:
-9 + x2 + -1(-3 + x) * 2 = 0

Reorder the terms for easier multiplication:
-9 + x2 + -1 * 2(-3 + x) = 0

Multiply -1 * 2
-9 + x2 + -2(-3 + x) = 0
-9 + x2 + (-3 * -2 + x * -2) = 0
-9 + x2 + (6 + -2x) = 0

Reorder the terms:
-9 + 6 + -2x + x2 = 0

Combine like terms: -9 + 6 = -3
-3 + -2x + x2 = 0

Solving
-3 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-1, 3}

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