a^2-az-20z^2=

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Solution for a^2-az-20z^2= equation:


Simplifying
a2 + -1az + -20z2 = 0

Reorder the terms:
-1az + a2 + -20z2 = 0

Solving
-1az + a2 + -20z2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -5z)(a + 4z) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(a + 4z)' equal to zero and attempt to solve: Simplifying a + 4z = 0 Solving a + 4z = 0 Move all terms containing a to the left, all other terms to the right. Add '-4z' to each side of the equation. a + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 a + 0 = 0 + -4z a = 0 + -4z Remove the zero: a = -4z Simplifying a = -4z

Solution

a = {5z, -4z}

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