solvex(3x-5)=(3x+8)(x-5)

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Solution for solvex(3x-5)=(3x+8)(x-5) equation: 


Simplifying
solvex(3x + -5) = (3x + 8)(x + -5)

Reorder the terms:
elosvx(-5 + 3x) = (3x + 8)(x + -5)
(-5 * elosvx + 3x * elosvx) = (3x + 8)(x + -5)
(-5elosvx + 3elosvx2) = (3x + 8)(x + -5)

Reorder the terms:
-5elosvx + 3elosvx2 = (8 + 3x)(x + -5)

Reorder the terms:
-5elosvx + 3elosvx2 = (8 + 3x)(-5 + x)

Multiply (8 + 3x) * (-5 + x)
-5elosvx + 3elosvx2 = (8(-5 + x) + 3x * (-5 + x))
-5elosvx + 3elosvx2 = ((-5 * 8 + x * 8) + 3x * (-5 + x))
-5elosvx + 3elosvx2 = ((-40 + 8x) + 3x * (-5 + x))
-5elosvx + 3elosvx2 = (-40 + 8x + (-5 * 3x + x * 3x))
-5elosvx + 3elosvx2 = (-40 + 8x + (-15x + 3x2))

Combine like terms: 8x + -15x = -7x
-5elosvx + 3elosvx2 = (-40 + -7x + 3x2)

Solving
-5elosvx + 3elosvx2 = -40 + -7x + 3x2

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Reorder the terms:
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = -40 + -7x + 3x2 + 40 + 7x + -3x2

Reorder the terms:
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = -40 + 40 + -7x + 7x + 3x2 + -3x2

Combine like terms: -40 + 40 = 0
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = 0 + 3x2 + -3x2
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
40 + -5elosvx + 3elosvx2 + 7x + -3x2 = 0

The solution to this equation could not be determined.

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