4x+1=3(x^2-5)-(x-3)(X+2)

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Solution for 4x+1=3(x^2-5)-(x-3)(X+2) equation: 


Simplifying
4x + 1 = 3(x2 + -5) + -1(x + -3)(X + 2)

Reorder the terms:
1 + 4x = 3(x2 + -5) + -1(x + -3)(X + 2)

Reorder the terms:
1 + 4x = 3(-5 + x2) + -1(x + -3)(X + 2)
1 + 4x = (-5 * 3 + x2 * 3) + -1(x + -3)(X + 2)
1 + 4x = (-15 + 3x2) + -1(x + -3)(X + 2)

Reorder the terms:
1 + 4x = -15 + 3x2 + -1(-3 + x)(X + 2)

Reorder the terms:
1 + 4x = -15 + 3x2 + -1(-3 + x)(2 + X)

Multiply (-3 + x) * (2 + X)
1 + 4x = -15 + 3x2 + -1(-3(2 + X) + x(2 + X))
1 + 4x = -15 + 3x2 + -1((2 * -3 + X * -3) + x(2 + X))
1 + 4x = -15 + 3x2 + -1((-6 + -3X) + x(2 + X))
1 + 4x = -15 + 3x2 + -1(-6 + -3X + (2 * x + X * x))
1 + 4x = -15 + 3x2 + -1(-6 + -3X + (2x + xX))
1 + 4x = -15 + 3x2 + -1(-6 + -3X + 2x + xX)
1 + 4x = -15 + 3x2 + (-6 * -1 + -3X * -1 + 2x * -1 + xX * -1)
1 + 4x = -15 + 3x2 + (6 + 3X + -2x + -1xX)

Reorder the terms:
1 + 4x = -15 + 6 + 3X + -2x + -1xX + 3x2

Combine like terms: -15 + 6 = -9
1 + 4x = -9 + 3X + -2x + -1xX + 3x2

Solving
1 + 4x = -9 + 3X + -2x + -1xX + 3x2

Solving for variable 'x'.

Reorder the terms:
1 + 9 + -3X + 4x + 2x + xX + -3x2 = -9 + 3X + -2x + -1xX + 3x2 + 9 + -3X + 2x + xX + -3x2

Combine like terms: 1 + 9 = 10
10 + -3X + 4x + 2x + xX + -3x2 = -9 + 3X + -2x + -1xX + 3x2 + 9 + -3X + 2x + xX + -3x2

Combine like terms: 4x + 2x = 6x
10 + -3X + 6x + xX + -3x2 = -9 + 3X + -2x + -1xX + 3x2 + 9 + -3X + 2x + xX + -3x2

Reorder the terms:
10 + -3X + 6x + xX + -3x2 = -9 + 9 + 3X + -3X + -2x + 2x + -1xX + xX + 3x2 + -3x2

Combine like terms: -9 + 9 = 0
10 + -3X + 6x + xX + -3x2 = 0 + 3X + -3X + -2x + 2x + -1xX + xX + 3x2 + -3x2
10 + -3X + 6x + xX + -3x2 = 3X + -3X + -2x + 2x + -1xX + xX + 3x2 + -3x2

Combine like terms: 3X + -3X = 0
10 + -3X + 6x + xX + -3x2 = 0 + -2x + 2x + -1xX + xX + 3x2 + -3x2
10 + -3X + 6x + xX + -3x2 = -2x + 2x + -1xX + xX + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
10 + -3X + 6x + xX + -3x2 = 0 + -1xX + xX + 3x2 + -3x2
10 + -3X + 6x + xX + -3x2 = -1xX + xX + 3x2 + -3x2

Combine like terms: -1xX + xX = 0
10 + -3X + 6x + xX + -3x2 = 0 + 3x2 + -3x2
10 + -3X + 6x + xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
10 + -3X + 6x + xX + -3x2 = 0

The solution to this equation could not be determined.

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