solve(a-3)(2a+6)=2a(a-18)

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Solution for solve(a-3)(2a+6)=2a(a-18) equation:


Simplifying
solve(a + -3)(2a + 6) = 2a(a + -18)

Reorder the terms:
elosv(-3 + a)(2a + 6) = 2a(a + -18)

Reorder the terms:
elosv(-3 + a)(6 + 2a) = 2a(a + -18)

Multiply (-3 + a) * (6 + 2a)
elosv(-3(6 + 2a) + a(6 + 2a)) = 2a(a + -18)
elosv((6 * -3 + 2a * -3) + a(6 + 2a)) = 2a(a + -18)
elosv((-18 + -6a) + a(6 + 2a)) = 2a(a + -18)
elosv(-18 + -6a + (6 * a + 2a * a)) = 2a(a + -18)
elosv(-18 + -6a + (6a + 2a2)) = 2a(a + -18)

Combine like terms: -6a + 6a = 0
elosv(-18 + 0 + 2a2) = 2a(a + -18)
elosv(-18 + 2a2) = 2a(a + -18)
(-18 * elosv + 2a2 * elosv) = 2a(a + -18)

Reorder the terms:
(2a2elosv + -18elosv) = 2a(a + -18)
(2a2elosv + -18elosv) = 2a(a + -18)

Reorder the terms:
2a2elosv + -18elosv = 2a(-18 + a)
2a2elosv + -18elosv = (-18 * 2a + a * 2a)
2a2elosv + -18elosv = (-36a + 2a2)

Solving
2a2elosv + -18elosv = -36a + 2a2

Solving for variable 'a'.

Reorder the terms:
36a + -2a2 + 2a2elosv + -18elosv = -36a + 2a2 + 36a + -2a2

Reorder the terms:
36a + -2a2 + 2a2elosv + -18elosv = -36a + 36a + 2a2 + -2a2

Combine like terms: -36a + 36a = 0
36a + -2a2 + 2a2elosv + -18elosv = 0 + 2a2 + -2a2
36a + -2a2 + 2a2elosv + -18elosv = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
36a + -2a2 + 2a2elosv + -18elosv = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18a + -1a2 + a2elosv + -9elosv) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(18a + -1a2 + a2elosv + -9elosv)' equal to zero and attempt to solve: Simplifying 18a + -1a2 + a2elosv + -9elosv = 0 Solving 18a + -1a2 + a2elosv + -9elosv = 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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