(X-5)(x+2)=-6

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Solution for (X-5)(x+2)=-6 equation:


Simplifying
(X + -5)(x + 2) = -6

Reorder the terms:
(-5 + X)(x + 2) = -6

Reorder the terms:
(-5 + X)(2 + x) = -6

Multiply (-5 + X) * (2 + x)
(-5(2 + x) + X(2 + x)) = -6
((2 * -5 + x * -5) + X(2 + x)) = -6
((-10 + -5x) + X(2 + x)) = -6
(-10 + -5x + (2 * X + x * X)) = -6
(-10 + -5x + (2X + xX)) = -6

Reorder the terms:
(-10 + 2X + -5x + xX) = -6
(-10 + 2X + -5x + xX) = -6

Solving
-10 + 2X + -5x + xX = -6

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 2X + -5x + 10 + xX = -6 + 10

Reorder the terms:
-10 + 10 + 2X + -5x + xX = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 2X + -5x + xX = -6 + 10
2X + -5x + xX = -6 + 10

Combine like terms: -6 + 10 = 4
2X + -5x + xX = 4

Add '5x' to each side of the equation.
2X + -5x + 5x + xX = 4 + 5x

Combine like terms: -5x + 5x = 0
2X + 0 + xX = 4 + 5x
2X + xX = 4 + 5x

Reorder the terms:
-4 + 2X + -5x + xX = 4 + 5x + -4 + -5x

Reorder the terms:
-4 + 2X + -5x + xX = 4 + -4 + 5x + -5x

Combine like terms: 4 + -4 = 0
-4 + 2X + -5x + xX = 0 + 5x + -5x
-4 + 2X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 2X + -5x + xX = 0

The solution to this equation could not be determined.

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