7a^3(4a^2-5a)-2a^2(3a^3)(-6a^2)=

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Solution for 7a^3(4a^2-5a)-2a^2(3a^3)(-6a^2)= equation:


Simplifying
7a3(4a2 + -5a) + -2a2(3a3)(-6a2) = 0

Reorder the terms:
7a3(-5a + 4a2) + -2a2(3a3)(-6a2) = 0
(-5a * 7a3 + 4a2 * 7a3) + -2a2(3a3)(-6a2) = 0
(-35a4 + 28a5) + -2a2(3a3)(-6a2) = 0

Remove parenthesis around (3a3)
-35a4 + 28a5 + -2a2 * 3a3(-6a2) = 0

Remove parenthesis around (-6a2)
-35a4 + 28a5 + -2a2 * 3a3 * -6a2 = 0

Reorder the terms for easier multiplication:
-35a4 + 28a5 + -2 * 3 * -6a2 * a3 * a2 = 0

Multiply -2 * 3
-35a4 + 28a5 + -6 * -6a2 * a3 * a2 = 0

Multiply -6 * -6
-35a4 + 28a5 + 36a2 * a3 * a2 = 0

Multiply a2 * a3
-35a4 + 28a5 + 36a5 * a2 = 0

Multiply a5 * a2
-35a4 + 28a5 + 36a7 = 0

Solving
-35a4 + 28a5 + 36a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a4'.
a4(-35 + 28a + 36a3) = 0

Subproblem 1

Set the factor 'a4' equal to zero and attempt to solve: Simplifying a4 = 0 Solving a4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-35 + 28a + 36a3)' equal to zero and attempt to solve: Simplifying -35 + 28a + 36a3 = 0 Solving -35 + 28a + 36a3 = 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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