(X-0.04)(Y-1)+(X)=Z

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Solution for (X-0.04)(Y-1)+(X)=Z equation:


Simplifying
(X + -0.04)(Y + -1) + (X) = Z

Reorder the terms:
(-0.04 + X)(Y + -1) + (X) = Z

Reorder the terms:
(-0.04 + X)(-1 + Y) + (X) = Z

Multiply (-0.04 + X) * (-1 + Y)
(-0.04(-1 + Y) + X(-1 + Y)) + (X) = Z
((-1 * -0.04 + Y * -0.04) + X(-1 + Y)) + (X) = Z
((0.04 + -0.04Y) + X(-1 + Y)) + (X) = Z
(0.04 + -0.04Y + (-1 * X + Y * X)) + (X) = Z
(0.04 + -0.04Y + (-1X + XY)) + (X) = Z

Reorder the terms:
(0.04 + -1X + XY + -0.04Y) + (X) = Z
(0.04 + -1X + XY + -0.04Y) + (X) = Z
0.04 + -1X + XY + -0.04Y + X = Z

Reorder the terms:
0.04 + -1X + X + XY + -0.04Y = Z

Combine like terms: -1X + X = 0
0.04 + 0 + XY + -0.04Y = Z
0.04 + XY + -0.04Y = Z

Solving
0.04 + XY + -0.04Y = Z

Solving for variable 'X'.

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

Add '-0.04' to each side of the equation.
0.04 + XY + -0.04 + -0.04Y = -0.04 + Z

Reorder the terms:
0.04 + -0.04 + XY + -0.04Y = -0.04 + Z

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + XY + -0.04Y = -0.04 + Z
XY + -0.04Y = -0.04 + Z

Add '0.04Y' to each side of the equation.
XY + -0.04Y + 0.04Y = -0.04 + 0.04Y + Z

Combine like terms: -0.04Y + 0.04Y = 0.00
XY + 0.00 = -0.04 + 0.04Y + Z
XY = -0.04 + 0.04Y + Z

Divide each side by 'Y'.
X = -0.04Y-1 + 0.04 + Y-1Z

Simplifying
X = -0.04Y-1 + 0.04 + Y-1Z

Reorder the terms:
X = 0.04 + -0.04Y-1 + Y-1Z

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