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Simplifying
4x2 + -16 = 3x2 + 9
Reorder the terms:
-16 + 4x2 = 3x2 + 9
Reorder the terms:
-16 + 4x2 = 9 + 3x2
Solving
-16 + 4x2 = 9 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-16 + 4x2 + -3x2 = 9 + 3x2 + -3x2
Combine like terms: 4x2 + -3x2 = 1x2
-16 + 1x2 = 9 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-16 + 1x2 = 9 + 0
-16 + 1x2 = 9
Add '16' to each side of the equation.
-16 + 16 + 1x2 = 9 + 16
Combine like terms: -16 + 16 = 0
0 + 1x2 = 9 + 16
1x2 = 9 + 16
Combine like terms: 9 + 16 = 25
1x2 = 25
Divide each side by '1'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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