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

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


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

Multiply (-3 + 4x) * (5 + -1x)
(-3(5 + -1x) + 4x * (5 + -1x)) + -1(2 + -7x)(5 + -1x) = y
((5 * -3 + -1x * -3) + 4x * (5 + -1x)) + -1(2 + -7x)(5 + -1x) = y
((-15 + 3x) + 4x * (5 + -1x)) + -1(2 + -7x)(5 + -1x) = y
(-15 + 3x + (5 * 4x + -1x * 4x)) + -1(2 + -7x)(5 + -1x) = y
(-15 + 3x + (20x + -4x2)) + -1(2 + -7x)(5 + -1x) = y

Combine like terms: 3x + 20x = 23x
(-15 + 23x + -4x2) + -1(2 + -7x)(5 + -1x) = y

Multiply (2 + -7x) * (5 + -1x)
-15 + 23x + -4x2 + -1(2(5 + -1x) + -7x * (5 + -1x)) = y
-15 + 23x + -4x2 + -1((5 * 2 + -1x * 2) + -7x * (5 + -1x)) = y
-15 + 23x + -4x2 + -1((10 + -2x) + -7x * (5 + -1x)) = y
-15 + 23x + -4x2 + -1(10 + -2x + (5 * -7x + -1x * -7x)) = y
-15 + 23x + -4x2 + -1(10 + -2x + (-35x + 7x2)) = y

Combine like terms: -2x + -35x = -37x
-15 + 23x + -4x2 + -1(10 + -37x + 7x2) = y
-15 + 23x + -4x2 + (10 * -1 + -37x * -1 + 7x2 * -1) = y
-15 + 23x + -4x2 + (-10 + 37x + -7x2) = y

Reorder the terms:
-15 + -10 + 23x + 37x + -4x2 + -7x2 = y

Combine like terms: -15 + -10 = -25
-25 + 23x + 37x + -4x2 + -7x2 = y

Combine like terms: 23x + 37x = 60x
-25 + 60x + -4x2 + -7x2 = y

Combine like terms: -4x2 + -7x2 = -11x2
-25 + 60x + -11x2 = y

Solving
-25 + 60x + -11x2 = y

Solving for variable 'x'.

Combine like terms: y + -1y = 0
-25 + 60x + -11x2 + -1y = 0

The solution to this equation could not be determined.

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