f(-1)=(3*(-1)-5)(2*(-1)-7)-(2*(-1)-7)(-1-4)

Solution for f(-1)=(3*(-1)-5)(2*(-1)-7)-(2*(-1)-7)(-1-4) equation:

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

Reorder the terms for easier multiplication:
-1f = (3(-1) + -5)(2(-1) + -7) + -1(2(-1) + -7)(-1 + -4)

Multiply 3 * -1
-1f = (-3 + -5)(2(-1) + -7) + -1(2(-1) + -7)(-1 + -4)

Combine like terms: -3 + -5 = -8
-1f = (-8)(2(-1) + -7) + -1(2(-1) + -7)(-1 + -4)

Multiply 2 * -1
-1f = -8(-2 + -7) + -1(2(-1) + -7)(-1 + -4)

Combine like terms: -2 + -7 = -9
-1f = -8(-9) + -1(2(-1) + -7)(-1 + -4)

Multiply -8 * -9
-1f = 72 + -1(2(-1) + -7)(-1 + -4)

Multiply 2 * -1
-1f = 72 + -1(-2 + -7)(-1 + -4)

Combine like terms: -2 + -7 = -9
-1f = 72 + -1(-9)(-1 + -4)

Combine like terms: -1 + -4 = -5
-1f = 72 + -1 * -9(-5)

Multiply -1 * -9
-1f = 72 + 9 * -5

Multiply 9 * -5
-1f = 72 + -45

Combine like terms: 72 + -45 = 27
-1f = 27

Solving
-1f = 27

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '-1'.
f = -27

Simplifying
f = -27