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Simplifying
4x2 + 4x2 + 16 = 16x2 + -16
Reorder the terms:
16 + 4x2 + 4x2 = 16x2 + -16
Combine like terms: 4x2 + 4x2 = 8x2
16 + 8x2 = 16x2 + -16
Reorder the terms:
16 + 8x2 = -16 + 16x2
Solving
16 + 8x2 = -16 + 16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16x2' to each side of the equation.
16 + 8x2 + -16x2 = -16 + 16x2 + -16x2
Combine like terms: 8x2 + -16x2 = -8x2
16 + -8x2 = -16 + 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
16 + -8x2 = -16 + 0
16 + -8x2 = -16
Add '-16' to each side of the equation.
16 + -16 + -8x2 = -16 + -16
Combine like terms: 16 + -16 = 0
0 + -8x2 = -16 + -16
-8x2 = -16 + -16
Combine like terms: -16 + -16 = -32
-8x2 = -32
Divide each side by '-8'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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