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Simplifying
2x2 + 8x + 16 = x2 + 8x + 16
Reorder the terms:
16 + 8x + 2x2 = x2 + 8x + 16
Reorder the terms:
16 + 8x + 2x2 = 16 + 8x + x2
Add '-16' to each side of the equation.
16 + 8x + -16 + 2x2 = 16 + 8x + -16 + x2
Reorder the terms:
16 + -16 + 8x + 2x2 = 16 + 8x + -16 + x2
Combine like terms: 16 + -16 = 0
0 + 8x + 2x2 = 16 + 8x + -16 + x2
8x + 2x2 = 16 + 8x + -16 + x2
Reorder the terms:
8x + 2x2 = 16 + -16 + 8x + x2
Combine like terms: 16 + -16 = 0
8x + 2x2 = 0 + 8x + x2
8x + 2x2 = 8x + x2
Add '-8x' to each side of the equation.
8x + -8x + 2x2 = 8x + -8x + x2
Combine like terms: 8x + -8x = 0
0 + 2x2 = 8x + -8x + x2
2x2 = 8x + -8x + x2
Combine like terms: 8x + -8x = 0
2x2 = 0 + x2
2x2 = x2
Solving
2x2 = x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
2x2 + -1x2 = x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
1x2 = x2 + -1x2
Combine like terms: x2 + -1x2 = 0
1x2 = 0
Divide each side by '1'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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