(3x+8)(x+8)-(3w*w)=832

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Solution for (3x+8)(x+8)-(3w*w)=832 equation: 


Simplifying
(3x + 8)(x + 8) + -1(3w * w) = 832

Reorder the terms:
(8 + 3x)(x + 8) + -1(3w * w) = 832

Reorder the terms:
(8 + 3x)(8 + x) + -1(3w * w) = 832

Multiply (8 + 3x) * (8 + x)
(8(8 + x) + 3x * (8 + x)) + -1(3w * w) = 832
((8 * 8 + x * 8) + 3x * (8 + x)) + -1(3w * w) = 832
((64 + 8x) + 3x * (8 + x)) + -1(3w * w) = 832
(64 + 8x + (8 * 3x + x * 3x)) + -1(3w * w) = 832
(64 + 8x + (24x + 3x2)) + -1(3w * w) = 832

Combine like terms: 8x + 24x = 32x
(64 + 32x + 3x2) + -1(3w * w) = 832

Multiply w * w
64 + 32x + 3x2 + -1(3w2) = 832

Remove parenthesis around (3w2)
64 + 32x + 3x2 + -1 * 3w2 = 832

Multiply -1 * 3
64 + 32x + 3x2 + -3w2 = 832

Reorder the terms:
64 + -3w2 + 32x + 3x2 = 832

Solving
64 + -3w2 + 32x + 3x2 = 832

Solving for variable 'w'.

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

Add '-64' to each side of the equation.
64 + -3w2 + 32x + -64 + 3x2 = 832 + -64

Reorder the terms:
64 + -64 + -3w2 + 32x + 3x2 = 832 + -64

Combine like terms: 64 + -64 = 0
0 + -3w2 + 32x + 3x2 = 832 + -64
-3w2 + 32x + 3x2 = 832 + -64

Combine like terms: 832 + -64 = 768
-3w2 + 32x + 3x2 = 768

Add '-32x' to each side of the equation.
-3w2 + 32x + -32x + 3x2 = 768 + -32x

Combine like terms: 32x + -32x = 0
-3w2 + 0 + 3x2 = 768 + -32x
-3w2 + 3x2 = 768 + -32x

Add '-3x2' to each side of the equation.
-3w2 + 3x2 + -3x2 = 768 + -32x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3w2 + 0 = 768 + -32x + -3x2
-3w2 = 768 + -32x + -3x2

Divide each side by '-3'.
w2 = -256 + 10.66666667x + x2

Simplifying
w2 = -256 + 10.66666667x + x2

Reorder the terms:
256 + w2 + -10.66666667x + -1x2 = -256 + 10.66666667x + x2 + 256 + -10.66666667x + -1x2

Reorder the terms:
256 + w2 + -10.66666667x + -1x2 = -256 + 256 + 10.66666667x + -10.66666667x + x2 + -1x2

Combine like terms: -256 + 256 = 0
256 + w2 + -10.66666667x + -1x2 = 0 + 10.66666667x + -10.66666667x + x2 + -1x2
256 + w2 + -10.66666667x + -1x2 = 10.66666667x + -10.66666667x + x2 + -1x2

Combine like terms: 10.66666667x + -10.66666667x = 0.00000000
256 + w2 + -10.66666667x + -1x2 = 0.00000000 + x2 + -1x2
256 + w2 + -10.66666667x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
256 + w2 + -10.66666667x + -1x2 = 0

The solution to this equation could not be determined.

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