2a^2+ab-15b^2=0

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Solution for 2a^2+ab-15b^2=0 equation:


Simplifying
2a2 + ab + -15b2 = 0

Reorder the terms:
ab + 2a2 + -15b2 = 0

Solving
ab + 2a2 + -15b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -5b)(a + 3b) = 0

Subproblem 1

Set the factor '(2a + -5b)' equal to zero and attempt to solve: Simplifying 2a + -5b = 0 Solving 2a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 2a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 2a + 0 = 0 + 5b 2a = 0 + 5b Remove the zero: 2a = 5b Divide each side by '2'. a = 2.5b Simplifying a = 2.5b

Subproblem 2

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

Solution

a = {2.5b, -3b}

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