3a(-b)+4(-a)(b)+7-(-ab)=0

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Solution for 3a(-b)+4(-a)(b)+7-(-ab)=0 equation:


Simplifying
3a(-1b) + 4(-1a)(b) + 7 + -1(-1ab) = 0

Remove parenthesis around (-1b)
3a * -1b + 4(-1a)(b) + 7 + -1(-1ab) = 0

Reorder the terms for easier multiplication:
3 * -1a * b + 4(-1a)(b) + 7 + -1(-1ab) = 0

Multiply 3 * -1
-3a * b + 4(-1a)(b) + 7 + -1(-1ab) = 0

Multiply a * b
-3ab + 4(-1a)(b) + 7 + -1(-1ab) = 0

Remove parenthesis around (-1a)
-3ab + 4 * -1a(b) + 7 + -1(-1ab) = 0

Multiply 4 * -1
-3ab + -4a * b + 7 + -1(-1ab) = 0

Multiply a * b
-3ab + -4ab + 7 + -1(-1ab) = 0

Remove parenthesis around (-1ab)
-3ab + -4ab + 7 + -1 * -1ab = 0

Multiply -1 * -1
-3ab + -4ab + 7 + 1ab = 0

Reorder the terms:
7 + -3ab + -4ab + 1ab = 0

Combine like terms: -3ab + -4ab = -7ab
7 + -7ab + 1ab = 0

Combine like terms: -7ab + 1ab = -6ab
7 + -6ab = 0

Solving
7 + -6ab = 0

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + -6ab = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6ab = 0 + -7
-6ab = 0 + -7

Combine like terms: 0 + -7 = -7
-6ab = -7

Divide each side by '-6b'.
a = 1.166666667b-1

Simplifying
a = 1.166666667b-1

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