19a(6a-7)=

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Solution for 19a(6a-7)= equation: 


Simplifying
19a(6a + -7) = 0

Reorder the terms:
19a(-7 + 6a) = 0
(-7 * 19a + 6a * 19a) = 0
(-133a + 114a2) = 0

Solving
-133a + 114a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '19a'.
19a(-7 + 6a) = 0

Ignore the factor 19.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-7 + 6a)' equal to zero and attempt to solve:

Simplifying
-7 + 6a = 0

Solving
-7 + 6a = 0

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

Add '7' to each side of the equation.
-7 + 7 + 6a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6a = 0 + 7
6a = 0 + 7

Combine like terms: 0 + 7 = 7
6a = 7

Divide each side by '6'.
a = 1.166666667

Simplifying
a = 1.166666667
Solution
a = {0, 1.166666667}

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