(X-10)(x-4)=-5

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Solution for (X-10)(x-4)=-5 equation:


Simplifying
(X + -10)(x + -4) = -5

Reorder the terms:
(-10 + X)(x + -4) = -5

Reorder the terms:
(-10 + X)(-4 + x) = -5

Multiply (-10 + X) * (-4 + x)
(-10(-4 + x) + X(-4 + x)) = -5
((-4 * -10 + x * -10) + X(-4 + x)) = -5
((40 + -10x) + X(-4 + x)) = -5
(40 + -10x + (-4 * X + x * X)) = -5
(40 + -10x + (-4X + xX)) = -5

Reorder the terms:
(40 + -4X + -10x + xX) = -5
(40 + -4X + -10x + xX) = -5

Solving
40 + -4X + -10x + xX = -5

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + -4X + -10x + -40 + xX = -5 + -40

Reorder the terms:
40 + -40 + -4X + -10x + xX = -5 + -40

Combine like terms: 40 + -40 = 0
0 + -4X + -10x + xX = -5 + -40
-4X + -10x + xX = -5 + -40

Combine like terms: -5 + -40 = -45
-4X + -10x + xX = -45

Add '10x' to each side of the equation.
-4X + -10x + 10x + xX = -45 + 10x

Combine like terms: -10x + 10x = 0
-4X + 0 + xX = -45 + 10x
-4X + xX = -45 + 10x

Reorder the terms:
45 + -4X + -10x + xX = -45 + 10x + 45 + -10x

Reorder the terms:
45 + -4X + -10x + xX = -45 + 45 + 10x + -10x

Combine like terms: -45 + 45 = 0
45 + -4X + -10x + xX = 0 + 10x + -10x
45 + -4X + -10x + xX = 10x + -10x

Combine like terms: 10x + -10x = 0
45 + -4X + -10x + xX = 0

The solution to this equation could not be determined.

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