(a-1)(2a-3)(5a-7)=f(a)

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Solution for (a-1)(2a-3)(5a-7)=f(a) equation: 


Simplifying
(a + -1)(2a + -3)(5a + -7) = f(a)

Reorder the terms:
(-1 + a)(2a + -3)(5a + -7) = f(a)

Reorder the terms:
(-1 + a)(-3 + 2a)(5a + -7) = f(a)

Reorder the terms:
(-1 + a)(-3 + 2a)(-7 + 5a) = f(a)

Multiply (-1 + a) * (-3 + 2a)
(-1(-3 + 2a) + a(-3 + 2a))(-7 + 5a) = f(a)
((-3 * -1 + 2a * -1) + a(-3 + 2a))(-7 + 5a) = f(a)
((3 + -2a) + a(-3 + 2a))(-7 + 5a) = f(a)
(3 + -2a + (-3 * a + 2a * a))(-7 + 5a) = f(a)
(3 + -2a + (-3a + 2a2))(-7 + 5a) = f(a)

Combine like terms: -2a + -3a = -5a
(3 + -5a + 2a2)(-7 + 5a) = f(a)

Multiply (3 + -5a + 2a2) * (-7 + 5a)
(3(-7 + 5a) + -5a * (-7 + 5a) + 2a2 * (-7 + 5a)) = f(a)
((-7 * 3 + 5a * 3) + -5a * (-7 + 5a) + 2a2 * (-7 + 5a)) = f(a)
((-21 + 15a) + -5a * (-7 + 5a) + 2a2 * (-7 + 5a)) = f(a)
(-21 + 15a + (-7 * -5a + 5a * -5a) + 2a2 * (-7 + 5a)) = f(a)
(-21 + 15a + (35a + -25a2) + 2a2 * (-7 + 5a)) = f(a)
(-21 + 15a + 35a + -25a2 + (-7 * 2a2 + 5a * 2a2)) = f(a)
(-21 + 15a + 35a + -25a2 + (-14a2 + 10a3)) = f(a)

Combine like terms: 15a + 35a = 50a
(-21 + 50a + -25a2 + -14a2 + 10a3) = f(a)

Combine like terms: -25a2 + -14a2 = -39a2
(-21 + 50a + -39a2 + 10a3) = f(a)

Multiply f * a
-21 + 50a + -39a2 + 10a3 = af

Solving
-21 + 50a + -39a2 + 10a3 = af

Solving for variable 'a'.

Reorder the terms:
-21 + 50a + -1af + -39a2 + 10a3 = af + -1af

Combine like terms: af + -1af = 0
-21 + 50a + -1af + -39a2 + 10a3 = 0

The solution to this equation could not be determined.

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