(10-3x)*((4x^2)-20x+25)=((x^2)-8x+16)*(2x-5)

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Solution for (10-3x)*((4x^2)-20x+25)=((x^2)-8x+16)*(2x-5) equation:


Simplifying
(10 + -3x)((4x2) + -20x + 25) = ((x2) + -8x + 16)(2x + -5)

Reorder the terms:
(10 + -3x)(25 + -20x + (4x2)) = ((x2) + -8x + 16)(2x + -5)

Multiply (10 + -3x) * (25 + -20x + (4x2))
(10(25 + -20x + (4x2)) + -3x * (25 + -20x + (4x2))) = ((x2) + -8x + 16)(2x + -5)
((25 * 10 + -20x * 10 + (4x2) * 10) + -3x * (25 + -20x + (4x2))) = ((x2) + -8x + 16)(2x + -5)
((250 + -200x + 40x2) + -3x * (25 + -20x + (4x2))) = ((x2) + -8x + 16)(2x + -5)
(250 + -200x + 40x2 + (25 * -3x + -20x * -3x + (4x2) * -3x)) = ((x2) + -8x + 16)(2x + -5)
(250 + -200x + 40x2 + (-75x + 60x2 + -12x3)) = ((x2) + -8x + 16)(2x + -5)

Reorder the terms:
(250 + -200x + -75x + 40x2 + 60x2 + -12x3) = ((x2) + -8x + 16)(2x + -5)

Combine like terms: -200x + -75x = -275x
(250 + -275x + 40x2 + 60x2 + -12x3) = ((x2) + -8x + 16)(2x + -5)

Combine like terms: 40x2 + 60x2 = 100x2
(250 + -275x + 100x2 + -12x3) = ((x2) + -8x + 16)(2x + -5)
250 + -275x + 100x2 + -12x3 = (x2 + -8x + 16)(2x + -5)

Reorder the terms:
250 + -275x + 100x2 + -12x3 = (16 + -8x + x2)(2x + -5)

Reorder the terms:
250 + -275x + 100x2 + -12x3 = (16 + -8x + x2)(-5 + 2x)

Multiply (16 + -8x + x2) * (-5 + 2x)
250 + -275x + 100x2 + -12x3 = (16(-5 + 2x) + -8x * (-5 + 2x) + x2(-5 + 2x))
250 + -275x + 100x2 + -12x3 = ((-5 * 16 + 2x * 16) + -8x * (-5 + 2x) + x2(-5 + 2x))
250 + -275x + 100x2 + -12x3 = ((-80 + 32x) + -8x * (-5 + 2x) + x2(-5 + 2x))
250 + -275x + 100x2 + -12x3 = (-80 + 32x + (-5 * -8x + 2x * -8x) + x2(-5 + 2x))
250 + -275x + 100x2 + -12x3 = (-80 + 32x + (40x + -16x2) + x2(-5 + 2x))
250 + -275x + 100x2 + -12x3 = (-80 + 32x + 40x + -16x2 + (-5 * x2 + 2x * x2))
250 + -275x + 100x2 + -12x3 = (-80 + 32x + 40x + -16x2 + (-5x2 + 2x3))

Combine like terms: 32x + 40x = 72x
250 + -275x + 100x2 + -12x3 = (-80 + 72x + -16x2 + -5x2 + 2x3)

Combine like terms: -16x2 + -5x2 = -21x2
250 + -275x + 100x2 + -12x3 = (-80 + 72x + -21x2 + 2x3)

Solving
250 + -275x + 100x2 + -12x3 = -80 + 72x + -21x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
250 + 80 + -275x + -72x + 100x2 + 21x2 + -12x3 + -2x3 = -80 + 72x + -21x2 + 2x3 + 80 + -72x + 21x2 + -2x3

Combine like terms: 250 + 80 = 330
330 + -275x + -72x + 100x2 + 21x2 + -12x3 + -2x3 = -80 + 72x + -21x2 + 2x3 + 80 + -72x + 21x2 + -2x3

Combine like terms: -275x + -72x = -347x
330 + -347x + 100x2 + 21x2 + -12x3 + -2x3 = -80 + 72x + -21x2 + 2x3 + 80 + -72x + 21x2 + -2x3

Combine like terms: 100x2 + 21x2 = 121x2
330 + -347x + 121x2 + -12x3 + -2x3 = -80 + 72x + -21x2 + 2x3 + 80 + -72x + 21x2 + -2x3

Combine like terms: -12x3 + -2x3 = -14x3
330 + -347x + 121x2 + -14x3 = -80 + 72x + -21x2 + 2x3 + 80 + -72x + 21x2 + -2x3

Reorder the terms:
330 + -347x + 121x2 + -14x3 = -80 + 80 + 72x + -72x + -21x2 + 21x2 + 2x3 + -2x3

Combine like terms: -80 + 80 = 0
330 + -347x + 121x2 + -14x3 = 0 + 72x + -72x + -21x2 + 21x2 + 2x3 + -2x3
330 + -347x + 121x2 + -14x3 = 72x + -72x + -21x2 + 21x2 + 2x3 + -2x3

Combine like terms: 72x + -72x = 0
330 + -347x + 121x2 + -14x3 = 0 + -21x2 + 21x2 + 2x3 + -2x3
330 + -347x + 121x2 + -14x3 = -21x2 + 21x2 + 2x3 + -2x3

Combine like terms: -21x2 + 21x2 = 0
330 + -347x + 121x2 + -14x3 = 0 + 2x3 + -2x3
330 + -347x + 121x2 + -14x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
330 + -347x + 121x2 + -14x3 = 0

The solution to this equation could not be determined.

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