33x+(8x+3)(8x-3)=16x(2+4x)+8

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Solution for 33x+(8x+3)(8x-3)=16x(2+4x)+8 equation: 


Simplifying
33x + (8x + 3)(8x + -3) = 16x(2 + 4x) + 8

Reorder the terms:
33x + (3 + 8x)(8x + -3) = 16x(2 + 4x) + 8

Reorder the terms:
33x + (3 + 8x)(-3 + 8x) = 16x(2 + 4x) + 8

Multiply (3 + 8x) * (-3 + 8x)
33x + (3(-3 + 8x) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8
33x + ((-3 * 3 + 8x * 3) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8
33x + ((-9 + 24x) + 8x * (-3 + 8x)) = 16x(2 + 4x) + 8
33x + (-9 + 24x + (-3 * 8x + 8x * 8x)) = 16x(2 + 4x) + 8
33x + (-9 + 24x + (-24x + 64x2)) = 16x(2 + 4x) + 8

Combine like terms: 24x + -24x = 0
33x + (-9 + 0 + 64x2) = 16x(2 + 4x) + 8
33x + (-9 + 64x2) = 16x(2 + 4x) + 8

Reorder the terms:
-9 + 33x + 64x2 = 16x(2 + 4x) + 8
-9 + 33x + 64x2 = (2 * 16x + 4x * 16x) + 8
-9 + 33x + 64x2 = (32x + 64x2) + 8

Reorder the terms:
-9 + 33x + 64x2 = 8 + 32x + 64x2

Add '-64x2' to each side of the equation.
-9 + 33x + 64x2 + -64x2 = 8 + 32x + 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
-9 + 33x + 0 = 8 + 32x + 64x2 + -64x2
-9 + 33x = 8 + 32x + 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
-9 + 33x = 8 + 32x + 0
-9 + 33x = 8 + 32x

Solving
-9 + 33x = 8 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-9 + 33x + -32x = 8 + 32x + -32x

Combine like terms: 33x + -32x = 1x
-9 + 1x = 8 + 32x + -32x

Combine like terms: 32x + -32x = 0
-9 + 1x = 8 + 0
-9 + 1x = 8

Add '9' to each side of the equation.
-9 + 9 + 1x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 8 + 9
1x = 8 + 9

Combine like terms: 8 + 9 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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