a^2-13ax+42x^2=0

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Solution for a^2-13ax+42x^2=0 equation: 


Simplifying
a2 + -13ax + 42x2 = 0

Reorder the terms:
-13ax + a2 + 42x2 = 0

Solving
-13ax + a2 + 42x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -7x)(a + -6x) = 0


Subproblem 1
Set the factor '(a + -7x)' equal to zero and attempt to solve:

Simplifying
a + -7x = 0

Solving
a + -7x = 0

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

Add '7x' to each side of the equation.
a + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
a + 0 = 0 + 7x
a = 0 + 7x
Remove the zero:
a = 7x

Simplifying
a = 7x

Subproblem 2
Set the factor '(a + -6x)' equal to zero and attempt to solve:

Simplifying
a + -6x = 0

Solving
a + -6x = 0

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

Add '6x' to each side of the equation.
a + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
a + 0 = 0 + 6x
a = 0 + 6x
Remove the zero:
a = 6x

Simplifying
a = 6x
Solution
a = {7x, 6x}

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