(3a-6)(5a^2+11a+26)=

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Solution for (3a-6)(5a^2+11a+26)= equation:


Simplifying
(3a + -6)(5a2 + 11a + 26) = 0

Reorder the terms:
(-6 + 3a)(5a2 + 11a + 26) = 0

Reorder the terms:
(-6 + 3a)(26 + 11a + 5a2) = 0

Multiply (-6 + 3a) * (26 + 11a + 5a2)
(-6(26 + 11a + 5a2) + 3a * (26 + 11a + 5a2)) = 0
((26 * -6 + 11a * -6 + 5a2 * -6) + 3a * (26 + 11a + 5a2)) = 0
((-156 + -66a + -30a2) + 3a * (26 + 11a + 5a2)) = 0
(-156 + -66a + -30a2 + (26 * 3a + 11a * 3a + 5a2 * 3a)) = 0
(-156 + -66a + -30a2 + (78a + 33a2 + 15a3)) = 0

Reorder the terms:
(-156 + -66a + 78a + -30a2 + 33a2 + 15a3) = 0

Combine like terms: -66a + 78a = 12a
(-156 + 12a + -30a2 + 33a2 + 15a3) = 0

Combine like terms: -30a2 + 33a2 = 3a2
(-156 + 12a + 3a2 + 15a3) = 0

Solving
-156 + 12a + 3a2 + 15a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-52 + 4a + a2 + 5a3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-52 + 4a + a2 + 5a3)' equal to zero and attempt to solve: Simplifying -52 + 4a + a2 + 5a3 = 0 Solving -52 + 4a + a2 + 5a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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