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Simplifying
2(10x2 + -48) = 16x2 + 48
Reorder the terms:
2(-48 + 10x2) = 16x2 + 48
(-48 * 2 + 10x2 * 2) = 16x2 + 48
(-96 + 20x2) = 16x2 + 48
Reorder the terms:
-96 + 20x2 = 48 + 16x2
Solving
-96 + 20x2 = 48 + 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.
-96 + 20x2 + -16x2 = 48 + 16x2 + -16x2
Combine like terms: 20x2 + -16x2 = 4x2
-96 + 4x2 = 48 + 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
-96 + 4x2 = 48 + 0
-96 + 4x2 = 48
Add '96' to each side of the equation.
-96 + 96 + 4x2 = 48 + 96
Combine like terms: -96 + 96 = 0
0 + 4x2 = 48 + 96
4x2 = 48 + 96
Combine like terms: 48 + 96 = 144
4x2 = 144
Divide each side by '4'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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