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Simplifying
x2 + (4x2 + 16) = (4x2 + 36)
Reorder the terms:
x2 + (16 + 4x2) = (4x2 + 36)
Remove parenthesis around (16 + 4x2)
x2 + 16 + 4x2 = (4x2 + 36)
Reorder the terms:
16 + x2 + 4x2 = (4x2 + 36)
Combine like terms: x2 + 4x2 = 5x2
16 + 5x2 = (4x2 + 36)
Reorder the terms:
16 + 5x2 = (36 + 4x2)
Remove parenthesis around (36 + 4x2)
16 + 5x2 = 36 + 4x2
Solving
16 + 5x2 = 36 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
16 + 5x2 + -4x2 = 36 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
16 + 1x2 = 36 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
16 + 1x2 = 36 + 0
16 + 1x2 = 36
Add '-16' to each side of the equation.
16 + -16 + 1x2 = 36 + -16
Combine like terms: 16 + -16 = 0
0 + 1x2 = 36 + -16
1x2 = 36 + -16
Combine like terms: 36 + -16 = 20
1x2 = 20
Divide each side by '1'.
x2 = 20
Simplifying
x2 = 20
Take the square root of each side:
x = {-4.472135955, 4.472135955}
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