4a(a-4)-7a=a(4q-3)+20

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Solution for 4a(a-4)-7a=a(4q-3)+20 equation: 


Simplifying
4a(a + -4) + -7a = a(4q + -3) + 20

Reorder the terms:
4a(-4 + a) + -7a = a(4q + -3) + 20
(-4 * 4a + a * 4a) + -7a = a(4q + -3) + 20
(-16a + 4a2) + -7a = a(4q + -3) + 20

Reorder the terms:
-16a + -7a + 4a2 = a(4q + -3) + 20

Combine like terms: -16a + -7a = -23a
-23a + 4a2 = a(4q + -3) + 20

Reorder the terms:
-23a + 4a2 = a(-3 + 4q) + 20
-23a + 4a2 = (-3 * a + 4q * a) + 20
-23a + 4a2 = (-3a + 4aq) + 20

Reorder the terms:
-23a + 4a2 = 20 + -3a + 4aq

Solving
-23a + 4a2 = 20 + -3a + 4aq

Solving for variable 'a'.

Reorder the terms:
-20 + -23a + 3a + -4aq + 4a2 = 20 + -3a + 4aq + -20 + 3a + -4aq

Combine like terms: -23a + 3a = -20a
-20 + -20a + -4aq + 4a2 = 20 + -3a + 4aq + -20 + 3a + -4aq

Reorder the terms:
-20 + -20a + -4aq + 4a2 = 20 + -20 + -3a + 3a + 4aq + -4aq

Combine like terms: 20 + -20 = 0
-20 + -20a + -4aq + 4a2 = 0 + -3a + 3a + 4aq + -4aq
-20 + -20a + -4aq + 4a2 = -3a + 3a + 4aq + -4aq

Combine like terms: -3a + 3a = 0
-20 + -20a + -4aq + 4a2 = 0 + 4aq + -4aq
-20 + -20a + -4aq + 4a2 = 4aq + -4aq

Combine like terms: 4aq + -4aq = 0
-20 + -20a + -4aq + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -5a + -1aq + a2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -5a + -1aq + a2)' equal to zero and attempt to solve:

Simplifying
-5 + -5a + -1aq + a2 = 0

Solving
-5 + -5a + -1aq + a2 = 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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