(6-x)(8-x)(10-x)=105

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Solution for (6-x)(8-x)(10-x)=105 equation:


Simplifying
(6 + -1x)(8 + -1x)(10 + -1x) = 105

Multiply (6 + -1x) * (8 + -1x)
(6(8 + -1x) + -1x * (8 + -1x))(10 + -1x) = 105
((8 * 6 + -1x * 6) + -1x * (8 + -1x))(10 + -1x) = 105
((48 + -6x) + -1x * (8 + -1x))(10 + -1x) = 105
(48 + -6x + (8 * -1x + -1x * -1x))(10 + -1x) = 105
(48 + -6x + (-8x + 1x2))(10 + -1x) = 105

Combine like terms: -6x + -8x = -14x
(48 + -14x + 1x2)(10 + -1x) = 105

Multiply (48 + -14x + 1x2) * (10 + -1x)
(48(10 + -1x) + -14x * (10 + -1x) + 1x2 * (10 + -1x)) = 105
((10 * 48 + -1x * 48) + -14x * (10 + -1x) + 1x2 * (10 + -1x)) = 105
((480 + -48x) + -14x * (10 + -1x) + 1x2 * (10 + -1x)) = 105
(480 + -48x + (10 * -14x + -1x * -14x) + 1x2 * (10 + -1x)) = 105
(480 + -48x + (-140x + 14x2) + 1x2 * (10 + -1x)) = 105
(480 + -48x + -140x + 14x2 + (10 * 1x2 + -1x * 1x2)) = 105
(480 + -48x + -140x + 14x2 + (10x2 + -1x3)) = 105

Combine like terms: -48x + -140x = -188x
(480 + -188x + 14x2 + 10x2 + -1x3) = 105

Combine like terms: 14x2 + 10x2 = 24x2
(480 + -188x + 24x2 + -1x3) = 105

Solving
480 + -188x + 24x2 + -1x3 = 105

Solving for variable 'x'.

Reorder the terms:
480 + -105 + -188x + 24x2 + -1x3 = 105 + -105

Combine like terms: 480 + -105 = 375
375 + -188x + 24x2 + -1x3 = 105 + -105

Combine like terms: 105 + -105 = 0
375 + -188x + 24x2 + -1x3 = 0

The solution to this equation could not be determined.

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