(X-2)(x-5)=40

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Solution for (X-2)(x-5)=40 equation:


Simplifying
(X + -2)(x + -5) = 40

Reorder the terms:
(-2 + X)(x + -5) = 40

Reorder the terms:
(-2 + X)(-5 + x) = 40

Multiply (-2 + X) * (-5 + x)
(-2(-5 + x) + X(-5 + x)) = 40
((-5 * -2 + x * -2) + X(-5 + x)) = 40
((10 + -2x) + X(-5 + x)) = 40
(10 + -2x + (-5 * X + x * X)) = 40
(10 + -2x + (-5X + xX)) = 40

Reorder the terms:
(10 + -5X + -2x + xX) = 40
(10 + -5X + -2x + xX) = 40

Solving
10 + -5X + -2x + xX = 40

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 = 40 + -10

Reorder the terms:
10 + -10 + -5X + -2x + xX = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -5X + -2x + xX = 40 + -10
-5X + -2x + xX = 40 + -10

Combine like terms: 40 + -10 = 30
-5X + -2x + xX = 30

Add '2x' to each side of the equation.
-5X + -2x + 2x + xX = 30 + 2x

Combine like terms: -2x + 2x = 0
-5X + 0 + xX = 30 + 2x
-5X + xX = 30 + 2x

Reorder the terms:
-30 + -5X + -2x + xX = 30 + 2x + -30 + -2x

Reorder the terms:
-30 + -5X + -2x + xX = 30 + -30 + 2x + -2x

Combine like terms: 30 + -30 = 0
-30 + -5X + -2x + xX = 0 + 2x + -2x
-30 + -5X + -2x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + -5X + -2x + xX = 0

The solution to this equation could not be determined.

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