(7-x)(10-x)=(7)(10-1.5x)

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Solution for (7-x)(10-x)=(7)(10-1.5x) equation:


Simplifying
(7 + -1x)(10 + -1x) = (7)(10 + -1.5x)

Multiply (7 + -1x) * (10 + -1x)
(7(10 + -1x) + -1x * (10 + -1x)) = (7)(10 + -1.5x)
((10 * 7 + -1x * 7) + -1x * (10 + -1x)) = (7)(10 + -1.5x)
((70 + -7x) + -1x * (10 + -1x)) = (7)(10 + -1.5x)
(70 + -7x + (10 * -1x + -1x * -1x)) = (7)(10 + -1.5x)
(70 + -7x + (-10x + 1x2)) = (7)(10 + -1.5x)

Combine like terms: -7x + -10x = -17x
(70 + -17x + 1x2) = (7)(10 + -1.5x)
70 + -17x + 1x2 = (10 * 7 + -1.5x * 7)
70 + -17x + 1x2 = (70 + -10.5x)

Add '-70' to each side of the equation.
70 + -17x + -70 + 1x2 = 70 + -70 + -10.5x

Reorder the terms:
70 + -70 + -17x + 1x2 = 70 + -70 + -10.5x

Combine like terms: 70 + -70 = 0
0 + -17x + 1x2 = 70 + -70 + -10.5x
-17x + 1x2 = 70 + -70 + -10.5x

Combine like terms: 70 + -70 = 0
-17x + 1x2 = 0 + -10.5x
-17x + 1x2 = -10.5x

Solving
-17x + 1x2 = -10.5x

Solving for variable 'x'.

Reorder the terms:
-17x + 10.5x + 1x2 = -10.5x + 10.5x

Combine like terms: -17x + 10.5x = -6.5x
-6.5x + 1x2 = -10.5x + 10.5x

Combine like terms: -10.5x + 10.5x = 0.0
-6.5x + 1x2 = 0.0

The solution to this equation could not be determined.

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