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

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


Simplifying
0 = (-3 + x)(-3 + x)

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

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

Solving
0 = 9 + -6x + x2

Solving for variable 'x'.

Combine like terms: 0 + -9 = -9
-9 + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Reorder the terms:
-9 + 6x + -1x2 = 9 + -9 + -6x + 6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
-9 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-9 + 6x + -1x2 = 0 + x2 + -1x2
-9 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 6x + -1x2 = 0

Factor a trinomial.
(-3 + x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

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 = {3, 3}

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