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

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


Simplifying
(x + 2)(x + -3) = (x2 + 9)

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

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

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

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2) = (x2 + 9)

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

Remove parenthesis around (9 + x2)
-6 + -1x + x2 = 9 + x2

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 = 9 + x2 + -1x2

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

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

Solving
-6 + -1x = 9

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 9 + 6

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

Combine like terms: 9 + 6 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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