-4b(3a-5b)+6(-5ab-6b^2)=

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Solution for -4b(3a-5b)+6(-5ab-6b^2)= equation: 


Simplifying
-4b(3a + -5b) + 6(-5ab + -6b2) = 0
(3a * -4b + -5b * -4b) + 6(-5ab + -6b2) = 0
(-12ab + 20b2) + 6(-5ab + -6b2) = 0
-12ab + 20b2 + (-5ab * 6 + -6b2 * 6) = 0
-12ab + 20b2 + (-30ab + -36b2) = 0

Reorder the terms:
-12ab + -30ab + 20b2 + -36b2 = 0

Combine like terms: -12ab + -30ab = -42ab
-42ab + 20b2 + -36b2 = 0

Combine like terms: 20b2 + -36b2 = -16b2
-42ab + -16b2 = 0

Solving
-42ab + -16b2 = 0

Solving for variable 'a'.

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

Add '16b2' to each side of the equation.
-42ab + -16b2 + 16b2 = 0 + 16b2

Combine like terms: -16b2 + 16b2 = 0
-42ab + 0 = 0 + 16b2
-42ab = 0 + 16b2
Remove the zero:
-42ab = 16b2

Divide each side by '-42b'.
a = -0.380952381b

Simplifying
a = -0.380952381b

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