25a^2+90ap+81p^2=

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Solution for 25a^2+90ap+81p^2= equation:


Simplifying
25a2 + 90ap + 81p2 = 0

Reorder the terms:
90ap + 25a2 + 81p2 = 0

Solving
90ap + 25a2 + 81p2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + 9p)(5a + 9p) = 0

Subproblem 1

Set the factor '(5a + 9p)' equal to zero and attempt to solve: Simplifying 5a + 9p = 0 Solving 5a + 9p = 0 Move all terms containing a to the left, all other terms to the right. Add '-9p' to each side of the equation. 5a + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 5a + 0 = 0 + -9p 5a = 0 + -9p Remove the zero: 5a = -9p Divide each side by '5'. a = -1.8p Simplifying a = -1.8p

Subproblem 2

Set the factor '(5a + 9p)' equal to zero and attempt to solve: Simplifying 5a + 9p = 0 Solving 5a + 9p = 0 Move all terms containing a to the left, all other terms to the right. Add '-9p' to each side of the equation. 5a + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 5a + 0 = 0 + -9p 5a = 0 + -9p Remove the zero: 5a = -9p Divide each side by '5'. a = -1.8p Simplifying a = -1.8p

Solution

a = {-1.8p, -1.8p}

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