x^2+9=(x-3)(x-5)

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Solution for x^2+9=(x-3)(x-5) equation:


Simplifying
x2 + 9 = (x + -3)(x + -5)

Reorder the terms:
9 + x2 = (x + -3)(x + -5)

Reorder the terms:
9 + x2 = (-3 + x)(x + -5)

Reorder the terms:
9 + x2 = (-3 + x)(-5 + x)

Multiply (-3 + x) * (-5 + x)
9 + x2 = (-3(-5 + x) + x(-5 + x))
9 + x2 = ((-5 * -3 + x * -3) + x(-5 + x))
9 + x2 = ((15 + -3x) + x(-5 + x))
9 + x2 = (15 + -3x + (-5 * x + x * x))
9 + x2 = (15 + -3x + (-5x + x2))

Combine like terms: -3x + -5x = -8x
9 + x2 = (15 + -8x + x2)

Add '-1x2' to each side of the equation.
9 + x2 + -1x2 = 15 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 0 = 15 + -8x + x2 + -1x2
9 = 15 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 = 15 + -8x + 0
9 = 15 + -8x

Solving
9 = 15 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + 8x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 8x = 15 + 0
9 + 8x = 15

Add '-9' to each side of the equation.
9 + -9 + 8x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 15 + -9
8x = 15 + -9

Combine like terms: 15 + -9 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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