(x^2+14)(x-3)=(3-x)(2x-3)

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Solution for (x^2+14)(x-3)=(3-x)(2x-3) equation: 


Simplifying
(x2 + 14)(x + -3) = (3 + -1x)(2x + -3)

Reorder the terms:
(14 + x2)(x + -3) = (3 + -1x)(2x + -3)

Reorder the terms:
(14 + x2)(-3 + x) = (3 + -1x)(2x + -3)

Multiply (14 + x2) * (-3 + x)
(14(-3 + x) + x2(-3 + x)) = (3 + -1x)(2x + -3)
((-3 * 14 + x * 14) + x2(-3 + x)) = (3 + -1x)(2x + -3)
((-42 + 14x) + x2(-3 + x)) = (3 + -1x)(2x + -3)
(-42 + 14x + (-3 * x2 + x * x2)) = (3 + -1x)(2x + -3)
(-42 + 14x + (-3x2 + x3)) = (3 + -1x)(2x + -3)
(-42 + 14x + -3x2 + x3) = (3 + -1x)(2x + -3)

Reorder the terms:
-42 + 14x + -3x2 + x3 = (3 + -1x)(-3 + 2x)

Multiply (3 + -1x) * (-3 + 2x)
-42 + 14x + -3x2 + x3 = (3(-3 + 2x) + -1x * (-3 + 2x))
-42 + 14x + -3x2 + x3 = ((-3 * 3 + 2x * 3) + -1x * (-3 + 2x))
-42 + 14x + -3x2 + x3 = ((-9 + 6x) + -1x * (-3 + 2x))
-42 + 14x + -3x2 + x3 = (-9 + 6x + (-3 * -1x + 2x * -1x))
-42 + 14x + -3x2 + x3 = (-9 + 6x + (3x + -2x2))

Combine like terms: 6x + 3x = 9x
-42 + 14x + -3x2 + x3 = (-9 + 9x + -2x2)

Solving
-42 + 14x + -3x2 + x3 = -9 + 9x + -2x2

Solving for variable 'x'.

Reorder the terms:
-42 + 9 + 14x + -9x + -3x2 + 2x2 + x3 = -9 + 9x + -2x2 + 9 + -9x + 2x2

Combine like terms: -42 + 9 = -33
-33 + 14x + -9x + -3x2 + 2x2 + x3 = -9 + 9x + -2x2 + 9 + -9x + 2x2

Combine like terms: 14x + -9x = 5x
-33 + 5x + -3x2 + 2x2 + x3 = -9 + 9x + -2x2 + 9 + -9x + 2x2

Combine like terms: -3x2 + 2x2 = -1x2
-33 + 5x + -1x2 + x3 = -9 + 9x + -2x2 + 9 + -9x + 2x2

Reorder the terms:
-33 + 5x + -1x2 + x3 = -9 + 9 + 9x + -9x + -2x2 + 2x2

Combine like terms: -9 + 9 = 0
-33 + 5x + -1x2 + x3 = 0 + 9x + -9x + -2x2 + 2x2
-33 + 5x + -1x2 + x3 = 9x + -9x + -2x2 + 2x2

Combine like terms: 9x + -9x = 0
-33 + 5x + -1x2 + x3 = 0 + -2x2 + 2x2
-33 + 5x + -1x2 + x3 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-33 + 5x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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