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

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Solution for 16=(x-3)(x+3) equation:


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

Reorder the terms:
16 = (-3 + x)(x + 3)

Reorder the terms:
16 = (-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
16 = (-3(3 + x) + x(3 + x))
16 = ((3 * -3 + x * -3) + x(3 + x))
16 = ((-9 + -3x) + x(3 + x))
16 = (-9 + -3x + (3 * x + x * x))
16 = (-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
16 = (-9 + 0 + x2)
16 = (-9 + x2)

Solving
16 = -9 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
16 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -1x2 = -9 + 0
16 + -1x2 = -9

Add '-16' to each side of the equation.
16 + -16 + -1x2 = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -1x2 = -9 + -16
-1x2 = -9 + -16

Combine like terms: -9 + -16 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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