x^2+x^2+16x+64=4x^2-16x+64

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Solution for x^2+x^2+16x+64=4x^2-16x+64 equation: 


Simplifying
x2 + x2 + 16x + 64 = 4x2 + -16x + 64

Reorder the terms:
64 + 16x + x2 + x2 = 4x2 + -16x + 64

Combine like terms: x2 + x2 = 2x2
64 + 16x + 2x2 = 4x2 + -16x + 64

Reorder the terms:
64 + 16x + 2x2 = 64 + -16x + 4x2

Add '-64' to each side of the equation.
64 + 16x + -64 + 2x2 = 64 + -16x + -64 + 4x2

Reorder the terms:
64 + -64 + 16x + 2x2 = 64 + -16x + -64 + 4x2

Combine like terms: 64 + -64 = 0
0 + 16x + 2x2 = 64 + -16x + -64 + 4x2
16x + 2x2 = 64 + -16x + -64 + 4x2

Reorder the terms:
16x + 2x2 = 64 + -64 + -16x + 4x2

Combine like terms: 64 + -64 = 0
16x + 2x2 = 0 + -16x + 4x2
16x + 2x2 = -16x + 4x2

Solving
16x + 2x2 = -16x + 4x2

Solving for variable 'x'.

Reorder the terms:
16x + 16x + 2x2 + -4x2 = -16x + 4x2 + 16x + -4x2

Combine like terms: 16x + 16x = 32x
32x + 2x2 + -4x2 = -16x + 4x2 + 16x + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
32x + -2x2 = -16x + 4x2 + 16x + -4x2

Reorder the terms:
32x + -2x2 = -16x + 16x + 4x2 + -4x2

Combine like terms: -16x + 16x = 0
32x + -2x2 = 0 + 4x2 + -4x2
32x + -2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
32x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(16 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0, 16}

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