-a(2a-3b)=0

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Solution for -a(2a-3b)=0 equation:


Simplifying
-1a(2a + -3b) = 0
(2a * -1a + -3b * -1a) = 0

Reorder the terms:
(3ab + -2a2) = 0
(3ab + -2a2) = 0

Solving
3ab + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3b + -2a) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(3b + -2a)' equal to zero and attempt to solve: Simplifying 3b + -2a = 0 Reorder the terms: -2a + 3b = 0 Solving -2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -2a + 0 = 0 + -3b -2a = 0 + -3b Remove the zero: -2a = -3b Divide each side by '-2'. a = 1.5b Simplifying a = 1.5b

Solution

a = {0, 1.5b}

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