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Simplifying
16x2 + -25 + 4x2 = 16x2 + 25
Reorder the terms:
-25 + 16x2 + 4x2 = 16x2 + 25
Combine like terms: 16x2 + 4x2 = 20x2
-25 + 20x2 = 16x2 + 25
Reorder the terms:
-25 + 20x2 = 25 + 16x2
Solving
-25 + 20x2 = 25 + 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.
-25 + 20x2 + -16x2 = 25 + 16x2 + -16x2
Combine like terms: 20x2 + -16x2 = 4x2
-25 + 4x2 = 25 + 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
-25 + 4x2 = 25 + 0
-25 + 4x2 = 25
Add '25' to each side of the equation.
-25 + 25 + 4x2 = 25 + 25
Combine like terms: -25 + 25 = 0
0 + 4x2 = 25 + 25
4x2 = 25 + 25
Combine like terms: 25 + 25 = 50
4x2 = 50
Divide each side by '4'.
x2 = 12.5
Simplifying
x2 = 12.5
Take the square root of each side:
x = {-3.535533906, 3.535533906}
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