X^2+(x-8)(x-8)-3(x+2)=2(x+9)

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Solution for X^2+(x-8)(x-8)-3(x+2)=2(x+9) equation: 


Simplifying
X2 + (x + -8)(x + -8) + -3(x + 2) = 2(x + 9)

Reorder the terms:
X2 + (-8 + x)(x + -8) + -3(x + 2) = 2(x + 9)

Reorder the terms:
X2 + (-8 + x)(-8 + x) + -3(x + 2) = 2(x + 9)

Multiply (-8 + x) * (-8 + x)
X2 + (-8(-8 + x) + x(-8 + x)) + -3(x + 2) = 2(x + 9)
X2 + ((-8 * -8 + x * -8) + x(-8 + x)) + -3(x + 2) = 2(x + 9)
X2 + ((64 + -8x) + x(-8 + x)) + -3(x + 2) = 2(x + 9)
X2 + (64 + -8x + (-8 * x + x * x)) + -3(x + 2) = 2(x + 9)
X2 + (64 + -8x + (-8x + x2)) + -3(x + 2) = 2(x + 9)

Combine like terms: -8x + -8x = -16x
X2 + (64 + -16x + x2) + -3(x + 2) = 2(x + 9)

Reorder the terms:
X2 + 64 + -16x + x2 + -3(2 + x) = 2(x + 9)
X2 + 64 + -16x + x2 + (2 * -3 + x * -3) = 2(x + 9)
X2 + 64 + -16x + x2 + (-6 + -3x) = 2(x + 9)

Reorder the terms:
64 + -6 + X2 + -16x + -3x + x2 = 2(x + 9)

Combine like terms: 64 + -6 = 58
58 + X2 + -16x + -3x + x2 = 2(x + 9)

Combine like terms: -16x + -3x = -19x
58 + X2 + -19x + x2 = 2(x + 9)

Reorder the terms:
58 + X2 + -19x + x2 = 2(9 + x)
58 + X2 + -19x + x2 = (9 * 2 + x * 2)
58 + X2 + -19x + x2 = (18 + 2x)

Solving
58 + X2 + -19x + x2 = 18 + 2x

Solving for variable 'X'.

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

Add '-58' to each side of the equation.
58 + X2 + -19x + -58 + x2 = 18 + -58 + 2x

Reorder the terms:
58 + -58 + X2 + -19x + x2 = 18 + -58 + 2x

Combine like terms: 58 + -58 = 0
0 + X2 + -19x + x2 = 18 + -58 + 2x
X2 + -19x + x2 = 18 + -58 + 2x

Combine like terms: 18 + -58 = -40
X2 + -19x + x2 = -40 + 2x

Add '19x' to each side of the equation.
X2 + -19x + 19x + x2 = -40 + 2x + 19x

Combine like terms: -19x + 19x = 0
X2 + 0 + x2 = -40 + 2x + 19x
X2 + x2 = -40 + 2x + 19x

Combine like terms: 2x + 19x = 21x
X2 + x2 = -40 + 21x

Add '-1x2' to each side of the equation.
X2 + x2 + -1x2 = -40 + 21x + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 0 = -40 + 21x + -1x2
X2 = -40 + 21x + -1x2

Simplifying
X2 = -40 + 21x + -1x2

Reorder the terms:
40 + X2 + -21x + x2 = -40 + 21x + -1x2 + 40 + -21x + x2

Reorder the terms:
40 + X2 + -21x + x2 = -40 + 40 + 21x + -21x + -1x2 + x2

Combine like terms: -40 + 40 = 0
40 + X2 + -21x + x2 = 0 + 21x + -21x + -1x2 + x2
40 + X2 + -21x + x2 = 21x + -21x + -1x2 + x2

Combine like terms: 21x + -21x = 0
40 + X2 + -21x + x2 = 0 + -1x2 + x2
40 + X2 + -21x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
40 + X2 + -21x + x2 = 0

The solution to this equation could not be determined.

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