30v^2+19va-63a^2=

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Solution for 30v^2+19va-63a^2= equation:


Simplifying
30v2 + 19va + -63a2 = 0

Reorder the terms:
19av + -63a2 + 30v2 = 0

Solving
19av + -63a2 + 30v2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9a + -5v)(7a + -6v) = 0

Subproblem 1

Set the factor '(-9a + -5v)' equal to zero and attempt to solve: Simplifying -9a + -5v = 0 Solving -9a + -5v = 0 Move all terms containing a to the left, all other terms to the right. Add '5v' to each side of the equation. -9a + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 -9a + 0 = 0 + 5v -9a = 0 + 5v Remove the zero: -9a = 5v Divide each side by '-9'. a = -0.5555555556v Simplifying a = -0.5555555556v

Subproblem 2

Set the factor '(7a + -6v)' equal to zero and attempt to solve: Simplifying 7a + -6v = 0 Solving 7a + -6v = 0 Move all terms containing a to the left, all other terms to the right. Add '6v' to each side of the equation. 7a + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7a + 0 = 0 + 6v 7a = 0 + 6v Remove the zero: 7a = 6v Divide each side by '7'. a = 0.8571428571v Simplifying a = 0.8571428571v

Solution

a = {-0.5555555556v, 0.8571428571v}

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