(2x+3)(4x+5)=a

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Solution for (2x+3)(4x+5)=a equation: 


Simplifying
(2x + 3)(4x + 5) = a

Reorder the terms:
(3 + 2x)(4x + 5) = a

Reorder the terms:
(3 + 2x)(5 + 4x) = a

Multiply (3 + 2x) * (5 + 4x)
(3(5 + 4x) + 2x * (5 + 4x)) = a
((5 * 3 + 4x * 3) + 2x * (5 + 4x)) = a
((15 + 12x) + 2x * (5 + 4x)) = a
(15 + 12x + (5 * 2x + 4x * 2x)) = a
(15 + 12x + (10x + 8x2)) = a

Combine like terms: 12x + 10x = 22x
(15 + 22x + 8x2) = a

Solving
15 + 22x + 8x2 = a

Solving for variable 'x'.

Reorder the terms:
15 + -1a + 22x + 8x2 = a + -1a

Combine like terms: a + -1a = 0
15 + -1a + 22x + 8x2 = 0

The solution to this equation could not be determined.

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