solve(2x-7)(2x+3)=(4x+1)(x+3)

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Solution for solve(2x-7)(2x+3)=(4x+1)(x+3) equation: 


Simplifying
solve(2x + -7)(2x + 3) = (4x + 1)(x + 3)

Reorder the terms:
elosv(-7 + 2x)(2x + 3) = (4x + 1)(x + 3)

Reorder the terms:
elosv(-7 + 2x)(3 + 2x) = (4x + 1)(x + 3)

Multiply (-7 + 2x) * (3 + 2x)
elosv(-7(3 + 2x) + 2x * (3 + 2x)) = (4x + 1)(x + 3)
elosv((3 * -7 + 2x * -7) + 2x * (3 + 2x)) = (4x + 1)(x + 3)
elosv((-21 + -14x) + 2x * (3 + 2x)) = (4x + 1)(x + 3)
elosv(-21 + -14x + (3 * 2x + 2x * 2x)) = (4x + 1)(x + 3)
elosv(-21 + -14x + (6x + 4x2)) = (4x + 1)(x + 3)

Combine like terms: -14x + 6x = -8x
elosv(-21 + -8x + 4x2) = (4x + 1)(x + 3)
(-21 * elosv + -8x * elosv + 4x2 * elosv) = (4x + 1)(x + 3)
(-21elosv + -8elosvx + 4elosvx2) = (4x + 1)(x + 3)

Reorder the terms:
-21elosv + -8elosvx + 4elosvx2 = (1 + 4x)(x + 3)

Reorder the terms:
-21elosv + -8elosvx + 4elosvx2 = (1 + 4x)(3 + x)

Multiply (1 + 4x) * (3 + x)
-21elosv + -8elosvx + 4elosvx2 = (1(3 + x) + 4x * (3 + x))
-21elosv + -8elosvx + 4elosvx2 = ((3 * 1 + x * 1) + 4x * (3 + x))
-21elosv + -8elosvx + 4elosvx2 = ((3 + 1x) + 4x * (3 + x))
-21elosv + -8elosvx + 4elosvx2 = (3 + 1x + (3 * 4x + x * 4x))
-21elosv + -8elosvx + 4elosvx2 = (3 + 1x + (12x + 4x2))

Combine like terms: 1x + 12x = 13x
-21elosv + -8elosvx + 4elosvx2 = (3 + 13x + 4x2)

Solving
-21elosv + -8elosvx + 4elosvx2 = 3 + 13x + 4x2

Solving for variable 'e'.

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

Reorder the terms:
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 3 + 13x + 4x2 + -3 + -13x + -4x2

Reorder the terms:
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 3 + -3 + 13x + -13x + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 0 + 13x + -13x + 4x2 + -4x2
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 13x + -13x + 4x2 + -4x2

Combine like terms: 13x + -13x = 0
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 0 + 4x2 + -4x2
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + -21elosv + -8elosvx + 4elosvx2 + -13x + -4x2 = 0

The solution to this equation could not be determined.

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