=(2a)EXP(3)+(2a+4)(3aEXP(2)-3)

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Solution for =(2a)EXP(3)+(2a+4)(3aEXP(2)-3) equation:


Simplifying
0 = (2a) * EXP(3) + (2a + 4)(3aEXP(2) + -3)

Remove parenthesis around (2a)
0 = 2a * EXP(3) + (2a + 4)(3aEXP(2) + -3)

Reorder the terms for easier multiplication:
0 = 2 * 3a * EPX + (2a + 4)(3aEXP(2) + -3)

Multiply 2 * 3
0 = 6a * EPX + (2a + 4)(3aEXP(2) + -3)

Multiply a * EPX
0 = 6aEPX + (2a + 4)(3aEXP(2) + -3)

Reorder the terms:
0 = 6aEPX + (4 + 2a)(3aEXP(2) + -3)

Reorder the terms for easier multiplication:
0 = 6aEPX + (4 + 2a)(3 * 2aEPX + -3)

Multiply 3 * 2
0 = 6aEPX + (4 + 2a)(6aEPX + -3)

Reorder the terms:
0 = 6aEPX + (4 + 2a)(-3 + 6aEPX)

Multiply (4 + 2a) * (-3 + 6aEPX)
0 = 6aEPX + (4(-3 + 6aEPX) + 2a * (-3 + 6aEPX))
0 = 6aEPX + ((-3 * 4 + 6aEPX * 4) + 2a * (-3 + 6aEPX))
0 = 6aEPX + ((-12 + 24aEPX) + 2a * (-3 + 6aEPX))
0 = 6aEPX + (-12 + 24aEPX + (-3 * 2a + 6aEPX * 2a))
0 = 6aEPX + (-12 + 24aEPX + (-6a + 12a2EPX))

Reorder the terms:
0 = 6aEPX + (-12 + -6a + 24aEPX + 12a2EPX)
0 = 6aEPX + (-12 + -6a + 24aEPX + 12a2EPX)

Reorder the terms:
0 = -12 + -6a + 6aEPX + 24aEPX + 12a2EPX

Combine like terms: 6aEPX + 24aEPX = 30aEPX
0 = -12 + -6a + 30aEPX + 12a2EPX

Solving
0 = -12 + -6a + 30aEPX + 12a2EPX

Solving for variable 'a'.

Combine like terms: 0 + 12 = 12
12 + 6a + -30aEPX + -12a2EPX = -12 + -6a + 30aEPX + 12a2EPX + 12 + 6a + -30aEPX + -12a2EPX

Reorder the terms:
12 + 6a + -30aEPX + -12a2EPX = -12 + 12 + -6a + 6a + 30aEPX + -30aEPX + 12a2EPX + -12a2EPX

Combine like terms: -12 + 12 = 0
12 + 6a + -30aEPX + -12a2EPX = 0 + -6a + 6a + 30aEPX + -30aEPX + 12a2EPX + -12a2EPX
12 + 6a + -30aEPX + -12a2EPX = -6a + 6a + 30aEPX + -30aEPX + 12a2EPX + -12a2EPX

Combine like terms: -6a + 6a = 0
12 + 6a + -30aEPX + -12a2EPX = 0 + 30aEPX + -30aEPX + 12a2EPX + -12a2EPX
12 + 6a + -30aEPX + -12a2EPX = 30aEPX + -30aEPX + 12a2EPX + -12a2EPX

Combine like terms: 30aEPX + -30aEPX = 0
12 + 6a + -30aEPX + -12a2EPX = 0 + 12a2EPX + -12a2EPX
12 + 6a + -30aEPX + -12a2EPX = 12a2EPX + -12a2EPX

Combine like terms: 12a2EPX + -12a2EPX = 0
12 + 6a + -30aEPX + -12a2EPX = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + a + -5aEPX + -2a2EPX) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(2 + a + -5aEPX + -2a2EPX)' equal to zero and attempt to solve: Simplifying 2 + a + -5aEPX + -2a2EPX = 0 Solving 2 + a + -5aEPX + -2a2EPX = 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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