(X+2)(x-5)=x(x-7)

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Solution for (X+2)(x-5)=x(x-7) equation:


Simplifying
(X + 2)(x + -5) = x(x + -7)

Reorder the terms:
(2 + X)(x + -5) = x(x + -7)

Reorder the terms:
(2 + X)(-5 + x) = x(x + -7)

Multiply (2 + X) * (-5 + x)
(2(-5 + x) + X(-5 + x)) = x(x + -7)
((-5 * 2 + x * 2) + X(-5 + x)) = x(x + -7)
((-10 + 2x) + X(-5 + x)) = x(x + -7)
(-10 + 2x + (-5 * X + x * X)) = x(x + -7)
(-10 + 2x + (-5X + xX)) = x(x + -7)

Reorder the terms:
(-10 + -5X + 2x + xX) = x(x + -7)
(-10 + -5X + 2x + xX) = x(x + -7)

Reorder the terms:
-10 + -5X + 2x + xX = x(-7 + x)
-10 + -5X + 2x + xX = (-7 * x + x * x)
-10 + -5X + 2x + xX = (-7x + x2)

Solving
-10 + -5X + 2x + xX = -7x + x2

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 + -5X + 2x + 10 + xX = -7x + 10 + x2

Reorder the terms:
-10 + 10 + -5X + 2x + xX = -7x + 10 + x2

Combine like terms: -10 + 10 = 0
0 + -5X + 2x + xX = -7x + 10 + x2
-5X + 2x + xX = -7x + 10 + x2

Reorder the terms:
-5X + 2x + xX = 10 + -7x + x2

Add '-2x' to each side of the equation.
-5X + 2x + -2x + xX = 10 + -7x + -2x + x2

Combine like terms: 2x + -2x = 0
-5X + 0 + xX = 10 + -7x + -2x + x2
-5X + xX = 10 + -7x + -2x + x2

Combine like terms: -7x + -2x = -9x
-5X + xX = 10 + -9x + x2

Reorder the terms:
-10 + -5X + 9x + xX + -1x2 = 10 + -9x + x2 + -10 + 9x + -1x2

Reorder the terms:
-10 + -5X + 9x + xX + -1x2 = 10 + -10 + -9x + 9x + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + -5X + 9x + xX + -1x2 = 0 + -9x + 9x + x2 + -1x2
-10 + -5X + 9x + xX + -1x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
-10 + -5X + 9x + xX + -1x2 = 0 + x2 + -1x2
-10 + -5X + 9x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -5X + 9x + xX + -1x2 = 0

The solution to this equation could not be determined.

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