24x^2+24x-18=(ax-3)(4x+a)

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Solution for 24x^2+24x-18=(ax-3)(4x+a) equation: 


Simplifying
24x2 + 24x + -18 = (ax + -3)(4x + a)

Reorder the terms:
-18 + 24x + 24x2 = (ax + -3)(4x + a)

Reorder the terms:
-18 + 24x + 24x2 = (-3 + ax)(4x + a)

Reorder the terms:
-18 + 24x + 24x2 = (-3 + ax)(a + 4x)

Multiply (-3 + ax) * (a + 4x)
-18 + 24x + 24x2 = (-3(a + 4x) + ax(a + 4x))
-18 + 24x + 24x2 = ((a * -3 + 4x * -3) + ax(a + 4x))
-18 + 24x + 24x2 = ((-3a + -12x) + ax(a + 4x))
-18 + 24x + 24x2 = (-3a + -12x + (a * ax + 4x * ax))

Reorder the terms:
-18 + 24x + 24x2 = (-3a + -12x + (4ax2 + a2x))
-18 + 24x + 24x2 = (-3a + -12x + (4ax2 + a2x))

Reorder the terms:
-18 + 24x + 24x2 = (-3a + 4ax2 + a2x + -12x)
-18 + 24x + 24x2 = (-3a + 4ax2 + a2x + -12x)

Solving
-18 + 24x + 24x2 = -3a + 4ax2 + a2x + -12x

Solving for variable 'x'.

Reorder the terms:
-18 + 3a + -4ax2 + -1a2x + 24x + 12x + 24x2 = -3a + 4ax2 + a2x + -12x + 3a + -4ax2 + -1a2x + 12x

Combine like terms: 24x + 12x = 36x
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = -3a + 4ax2 + a2x + -12x + 3a + -4ax2 + -1a2x + 12x

Reorder the terms:
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = -3a + 3a + 4ax2 + -4ax2 + a2x + -1a2x + -12x + 12x

Combine like terms: -3a + 3a = 0
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = 0 + 4ax2 + -4ax2 + a2x + -1a2x + -12x + 12x
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = 4ax2 + -4ax2 + a2x + -1a2x + -12x + 12x

Combine like terms: 4ax2 + -4ax2 = 0
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = 0 + a2x + -1a2x + -12x + 12x
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = a2x + -1a2x + -12x + 12x

Combine like terms: a2x + -1a2x = 0
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = 0 + -12x + 12x
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-18 + 3a + -4ax2 + -1a2x + 36x + 24x2 = 0

The solution to this equation could not be determined.

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