(2x+3)(4h-3)=(8h-5)(h+6)

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Solution for (2x+3)(4h-3)=(8h-5)(h+6) equation:


Simplifying
(2x + 3)(4h + -3) = (8h + -5)(h + 6)

Reorder the terms:
(3 + 2x)(4h + -3) = (8h + -5)(h + 6)

Reorder the terms:
(3 + 2x)(-3 + 4h) = (8h + -5)(h + 6)

Multiply (3 + 2x) * (-3 + 4h)
(3(-3 + 4h) + 2x * (-3 + 4h)) = (8h + -5)(h + 6)
((-3 * 3 + 4h * 3) + 2x * (-3 + 4h)) = (8h + -5)(h + 6)
((-9 + 12h) + 2x * (-3 + 4h)) = (8h + -5)(h + 6)
(-9 + 12h + (-3 * 2x + 4h * 2x)) = (8h + -5)(h + 6)

Reorder the terms:
(-9 + 12h + (8hx + -6x)) = (8h + -5)(h + 6)
(-9 + 12h + (8hx + -6x)) = (8h + -5)(h + 6)
(-9 + 12h + 8hx + -6x) = (8h + -5)(h + 6)

Reorder the terms:
-9 + 12h + 8hx + -6x = (-5 + 8h)(h + 6)

Reorder the terms:
-9 + 12h + 8hx + -6x = (-5 + 8h)(6 + h)

Multiply (-5 + 8h) * (6 + h)
-9 + 12h + 8hx + -6x = (-5(6 + h) + 8h * (6 + h))
-9 + 12h + 8hx + -6x = ((6 * -5 + h * -5) + 8h * (6 + h))
-9 + 12h + 8hx + -6x = ((-30 + -5h) + 8h * (6 + h))
-9 + 12h + 8hx + -6x = (-30 + -5h + (6 * 8h + h * 8h))
-9 + 12h + 8hx + -6x = (-30 + -5h + (48h + 8h2))

Combine like terms: -5h + 48h = 43h
-9 + 12h + 8hx + -6x = (-30 + 43h + 8h2)

Solving
-9 + 12h + 8hx + -6x = -30 + 43h + 8h2

Solving for variable 'h'.

Reorder the terms:
-9 + 30 + 12h + -43h + 8hx + -8h2 + -6x = -30 + 43h + 8h2 + 30 + -43h + -8h2

Combine like terms: -9 + 30 = 21
21 + 12h + -43h + 8hx + -8h2 + -6x = -30 + 43h + 8h2 + 30 + -43h + -8h2

Combine like terms: 12h + -43h = -31h
21 + -31h + 8hx + -8h2 + -6x = -30 + 43h + 8h2 + 30 + -43h + -8h2

Reorder the terms:
21 + -31h + 8hx + -8h2 + -6x = -30 + 30 + 43h + -43h + 8h2 + -8h2

Combine like terms: -30 + 30 = 0
21 + -31h + 8hx + -8h2 + -6x = 0 + 43h + -43h + 8h2 + -8h2
21 + -31h + 8hx + -8h2 + -6x = 43h + -43h + 8h2 + -8h2

Combine like terms: 43h + -43h = 0
21 + -31h + 8hx + -8h2 + -6x = 0 + 8h2 + -8h2
21 + -31h + 8hx + -8h2 + -6x = 8h2 + -8h2

Combine like terms: 8h2 + -8h2 = 0
21 + -31h + 8hx + -8h2 + -6x = 0

The solution to this equation could not be determined.

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