(5-x)(3x-2)+(4x+7)(-x)=y

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Solution for (5-x)(3x-2)+(4x+7)(-x)=y equation:


Simplifying
(5 + -1x)(3x + -2) + (4x + 7)(-1x) = y

Reorder the terms:
(5 + -1x)(-2 + 3x) + (4x + 7)(-1x) = y

Multiply (5 + -1x) * (-2 + 3x)
(5(-2 + 3x) + -1x * (-2 + 3x)) + (4x + 7)(-1x) = y
((-2 * 5 + 3x * 5) + -1x * (-2 + 3x)) + (4x + 7)(-1x) = y
((-10 + 15x) + -1x * (-2 + 3x)) + (4x + 7)(-1x) = y
(-10 + 15x + (-2 * -1x + 3x * -1x)) + (4x + 7)(-1x) = y
(-10 + 15x + (2x + -3x2)) + (4x + 7)(-1x) = y

Combine like terms: 15x + 2x = 17x
(-10 + 17x + -3x2) + (4x + 7)(-1x) = y

Reorder the terms:
-10 + 17x + -3x2 + (7 + 4x)(-1x) = y

Remove parenthesis around (-1x)
-10 + 17x + -3x2 + (7 + 4x) * -1x = y

Reorder the terms for easier multiplication:
-10 + 17x + -3x2 + -1x(7 + 4x) = y
-10 + 17x + -3x2 + (7 * -1x + 4x * -1x) = y
-10 + 17x + -3x2 + (-7x + -4x2) = y

Reorder the terms:
-10 + 17x + -7x + -3x2 + -4x2 = y

Combine like terms: 17x + -7x = 10x
-10 + 10x + -3x2 + -4x2 = y

Combine like terms: -3x2 + -4x2 = -7x2
-10 + 10x + -7x2 = y

Solving
-10 + 10x + -7x2 = y

Solving for variable 'x'.

Combine like terms: y + -1y = 0
-10 + 10x + -7x2 + -1y = 0

The solution to this equation could not be determined.

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