4(x-2)sqr(x^2-4x+5)+5x^2+12=20x^2

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Solution for 4(x-2)sqr(x^2-4x+5)+5x^2+12=20x^2 equation: 


Simplifying
4(x + -2) * sqr(x2 + -4x + 5) + 5x2 + 12 = 20x2

Reorder the terms:
4(-2 + x) * sqr(x2 + -4x + 5) + 5x2 + 12 = 20x2

Reorder the terms:
4(-2 + x) * qrs(5 + -4x + x2) + 5x2 + 12 = 20x2

Reorder the terms for easier multiplication:
4qrs(-2 + x)(5 + -4x + x2) + 5x2 + 12 = 20x2

Multiply (-2 + x) * (5 + -4x + x2)
4qrs(-2(5 + -4x + x2) + x(5 + -4x + x2)) + 5x2 + 12 = 20x2
4qrs((5 * -2 + -4x * -2 + x2 * -2) + x(5 + -4x + x2)) + 5x2 + 12 = 20x2
4qrs((-10 + 8x + -2x2) + x(5 + -4x + x2)) + 5x2 + 12 = 20x2
4qrs(-10 + 8x + -2x2 + (5 * x + -4x * x + x2 * x)) + 5x2 + 12 = 20x2
4qrs(-10 + 8x + -2x2 + (5x + -4x2 + x3)) + 5x2 + 12 = 20x2

Reorder the terms:
4qrs(-10 + 8x + 5x + -2x2 + -4x2 + x3) + 5x2 + 12 = 20x2

Combine like terms: 8x + 5x = 13x
4qrs(-10 + 13x + -2x2 + -4x2 + x3) + 5x2 + 12 = 20x2

Combine like terms: -2x2 + -4x2 = -6x2
4qrs(-10 + 13x + -6x2 + x3) + 5x2 + 12 = 20x2
(-10 * 4qrs + 13x * 4qrs + -6x2 * 4qrs + x3 * 4qrs) + 5x2 + 12 = 20x2
(-40qrs + 52qrsx + -24qrsx2 + 4qrsx3) + 5x2 + 12 = 20x2

Reorder the terms:
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 = 20x2

Solving
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 = 20x2

Solving for variable 'q'.

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

Add '-12' to each side of the equation.
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -12 + 5x2 = -12 + 20x2

Reorder the terms:
12 + -12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 = -12 + 20x2

Combine like terms: 12 + -12 = 0
0 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 = -12 + 20x2
-40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 = -12 + 20x2

Add '-5x2' to each side of the equation.
-40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 5x2 + -5x2 = -12 + 20x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + 0 = -12 + 20x2 + -5x2
-40qrs + 52qrsx + -24qrsx2 + 4qrsx3 = -12 + 20x2 + -5x2

Combine like terms: 20x2 + -5x2 = 15x2
-40qrs + 52qrsx + -24qrsx2 + 4qrsx3 = -12 + 15x2

Reorder the terms:
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -15x2 = -12 + 15x2 + 12 + -15x2

Reorder the terms:
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -15x2 = -12 + 12 + 15x2 + -15x2

Combine like terms: -12 + 12 = 0
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -15x2 = 0 + 15x2 + -15x2
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
12 + -40qrs + 52qrsx + -24qrsx2 + 4qrsx3 + -15x2 = 0

The solution to this equation could not be determined.

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