a^2+6ax-40x^2=0

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Solution for a^2+6ax-40x^2=0 equation: 


Simplifying
a2 + 6ax + -40x2 = 0

Reorder the terms:
6ax + a2 + -40x2 = 0

Solving
6ax + a2 + -40x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -4x)(a + 10x) = 0


Subproblem 1
Set the factor '(a + -4x)' equal to zero and attempt to solve:

Simplifying
a + -4x = 0

Solving
a + -4x = 0

Move all terms containing a to the left, all other terms to the right.

Add '4x' to each side of the equation.
a + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
a + 0 = 0 + 4x
a = 0 + 4x
Remove the zero:
a = 4x

Simplifying
a = 4x

Subproblem 2
Set the factor '(a + 10x)' equal to zero and attempt to solve:

Simplifying
a + 10x = 0

Solving
a + 10x = 0

Move all terms containing a to the left, all other terms to the right.

Add '-10x' to each side of the equation.
a + 10x + -10x = 0 + -10x

Combine like terms: 10x + -10x = 0
a + 0 = 0 + -10x
a = 0 + -10x
Remove the zero:
a = -10x

Simplifying
a = -10x
Solution
a = {4x, -10x}

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