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Simplifying
x2 + 16 = 2x2 + 7
Reorder the terms:
16 + x2 = 2x2 + 7
Reorder the terms:
16 + x2 = 7 + 2x2
Solving
16 + x2 = 7 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
16 + x2 + -2x2 = 7 + 2x2 + -2x2
Combine like terms: x2 + -2x2 = -1x2
16 + -1x2 = 7 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
16 + -1x2 = 7 + 0
16 + -1x2 = 7
Add '-16' to each side of the equation.
16 + -16 + -1x2 = 7 + -16
Combine like terms: 16 + -16 = 0
0 + -1x2 = 7 + -16
-1x2 = 7 + -16
Combine like terms: 7 + -16 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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