(X+2)(X+5)=(X-3)(X-3)

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Solution for (X+2)(X+5)=(X-3)(X-3) equation: 


Simplifying
(X + 2)(X + 5) = (X + -3)(X + -3)

Reorder the terms:
(2 + X)(X + 5) = (X + -3)(X + -3)

Reorder the terms:
(2 + X)(5 + X) = (X + -3)(X + -3)

Multiply (2 + X) * (5 + X)
(2(5 + X) + X(5 + X)) = (X + -3)(X + -3)
((5 * 2 + X * 2) + X(5 + X)) = (X + -3)(X + -3)
((10 + 2X) + X(5 + X)) = (X + -3)(X + -3)
(10 + 2X + (5 * X + X * X)) = (X + -3)(X + -3)
(10 + 2X + (5X + X2)) = (X + -3)(X + -3)

Combine like terms: 2X + 5X = 7X
(10 + 7X + X2) = (X + -3)(X + -3)

Reorder the terms:
10 + 7X + X2 = (-3 + X)(X + -3)

Reorder the terms:
10 + 7X + X2 = (-3 + X)(-3 + X)

Multiply (-3 + X) * (-3 + X)
10 + 7X + X2 = (-3(-3 + X) + X(-3 + X))
10 + 7X + X2 = ((-3 * -3 + X * -3) + X(-3 + X))
10 + 7X + X2 = ((9 + -3X) + X(-3 + X))
10 + 7X + X2 = (9 + -3X + (-3 * X + X * X))
10 + 7X + X2 = (9 + -3X + (-3X + X2))

Combine like terms: -3X + -3X = -6X
10 + 7X + X2 = (9 + -6X + X2)

Add '-1X2' to each side of the equation.
10 + 7X + X2 + -1X2 = 9 + -6X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
10 + 7X + 0 = 9 + -6X + X2 + -1X2
10 + 7X = 9 + -6X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
10 + 7X = 9 + -6X + 0
10 + 7X = 9 + -6X

Solving
10 + 7X = 9 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
10 + 7X + 6X = 9 + -6X + 6X

Combine like terms: 7X + 6X = 13X
10 + 13X = 9 + -6X + 6X

Combine like terms: -6X + 6X = 0
10 + 13X = 9 + 0
10 + 13X = 9

Add '-10' to each side of the equation.
10 + -10 + 13X = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 13X = 9 + -10
13X = 9 + -10

Combine like terms: 9 + -10 = -1
13X = -1

Divide each side by '13'.
X = -0.07692307692

Simplifying
X = -0.07692307692

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