(x+8)(x+8)-(x-3)(x+3)=185

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Solution for (x+8)(x+8)-(x-3)(x+3)=185 equation: 


Simplifying
(x + 8)(x + 8) + -1(x + -3)(x + 3) = 185

Reorder the terms:
(8 + x)(x + 8) + -1(x + -3)(x + 3) = 185

Reorder the terms:
(8 + x)(8 + x) + -1(x + -3)(x + 3) = 185

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) + -1(x + -3)(x + 3) = 185
((8 * 8 + x * 8) + x(8 + x)) + -1(x + -3)(x + 3) = 185
((64 + 8x) + x(8 + x)) + -1(x + -3)(x + 3) = 185
(64 + 8x + (8 * x + x * x)) + -1(x + -3)(x + 3) = 185
(64 + 8x + (8x + x2)) + -1(x + -3)(x + 3) = 185

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) + -1(x + -3)(x + 3) = 185

Reorder the terms:
64 + 16x + x2 + -1(-3 + x)(x + 3) = 185

Reorder the terms:
64 + 16x + x2 + -1(-3 + x)(3 + x) = 185

Multiply (-3 + x) * (3 + x)
64 + 16x + x2 + -1(-3(3 + x) + x(3 + x)) = 185
64 + 16x + x2 + -1((3 * -3 + x * -3) + x(3 + x)) = 185
64 + 16x + x2 + -1((-9 + -3x) + x(3 + x)) = 185
64 + 16x + x2 + -1(-9 + -3x + (3 * x + x * x)) = 185
64 + 16x + x2 + -1(-9 + -3x + (3x + x2)) = 185

Combine like terms: -3x + 3x = 0
64 + 16x + x2 + -1(-9 + 0 + x2) = 185
64 + 16x + x2 + -1(-9 + x2) = 185
64 + 16x + x2 + (-9 * -1 + x2 * -1) = 185
64 + 16x + x2 + (9 + -1x2) = 185

Reorder the terms:
64 + 9 + 16x + x2 + -1x2 = 185

Combine like terms: 64 + 9 = 73
73 + 16x + x2 + -1x2 = 185

Combine like terms: x2 + -1x2 = 0
73 + 16x + 0 = 185
73 + 16x = 185

Solving
73 + 16x = 185

Solving for variable 'x'.

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

Add '-73' to each side of the equation.
73 + -73 + 16x = 185 + -73

Combine like terms: 73 + -73 = 0
0 + 16x = 185 + -73
16x = 185 + -73

Combine like terms: 185 + -73 = 112
16x = 112

Divide each side by '16'.
x = 7

Simplifying
x = 7

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