(39-x)*(39-x)=(33-x)*(46-x)

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Solution for (39-x)*(39-x)=(33-x)*(46-x) equation:


Simplifying
(39 + -1x)(39 + -1x) = (33 + -1x)(46 + -1x)

Multiply (39 + -1x) * (39 + -1x)
(39(39 + -1x) + -1x * (39 + -1x)) = (33 + -1x)(46 + -1x)
((39 * 39 + -1x * 39) + -1x * (39 + -1x)) = (33 + -1x)(46 + -1x)
((1521 + -39x) + -1x * (39 + -1x)) = (33 + -1x)(46 + -1x)
(1521 + -39x + (39 * -1x + -1x * -1x)) = (33 + -1x)(46 + -1x)
(1521 + -39x + (-39x + 1x2)) = (33 + -1x)(46 + -1x)

Combine like terms: -39x + -39x = -78x
(1521 + -78x + 1x2) = (33 + -1x)(46 + -1x)

Multiply (33 + -1x) * (46 + -1x)
1521 + -78x + 1x2 = (33(46 + -1x) + -1x * (46 + -1x))
1521 + -78x + 1x2 = ((46 * 33 + -1x * 33) + -1x * (46 + -1x))
1521 + -78x + 1x2 = ((1518 + -33x) + -1x * (46 + -1x))
1521 + -78x + 1x2 = (1518 + -33x + (46 * -1x + -1x * -1x))
1521 + -78x + 1x2 = (1518 + -33x + (-46x + 1x2))

Combine like terms: -33x + -46x = -79x
1521 + -78x + 1x2 = (1518 + -79x + 1x2)

Add '-1x2' to each side of the equation.
1521 + -78x + 1x2 + -1x2 = 1518 + -79x + 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
1521 + -78x + 0 = 1518 + -79x + 1x2 + -1x2
1521 + -78x = 1518 + -79x + 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
1521 + -78x = 1518 + -79x + 0
1521 + -78x = 1518 + -79x

Solving
1521 + -78x = 1518 + -79x

Solving for variable 'x'.

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

Add '79x' to each side of the equation.
1521 + -78x + 79x = 1518 + -79x + 79x

Combine like terms: -78x + 79x = 1x
1521 + 1x = 1518 + -79x + 79x

Combine like terms: -79x + 79x = 0
1521 + 1x = 1518 + 0
1521 + 1x = 1518

Add '-1521' to each side of the equation.
1521 + -1521 + 1x = 1518 + -1521

Combine like terms: 1521 + -1521 = 0
0 + 1x = 1518 + -1521
1x = 1518 + -1521

Combine like terms: 1518 + -1521 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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