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Simplifying
10x2 + 9 = 16x2 + 9
Reorder the terms:
9 + 10x2 = 16x2 + 9
Reorder the terms:
9 + 10x2 = 9 + 16x2
Add '-9' to each side of the equation.
9 + -9 + 10x2 = 9 + -9 + 16x2
Combine like terms: 9 + -9 = 0
0 + 10x2 = 9 + -9 + 16x2
10x2 = 9 + -9 + 16x2
Combine like terms: 9 + -9 = 0
10x2 = 0 + 16x2
10x2 = 16x2
Solving
10x2 = 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.
10x2 + -16x2 = 16x2 + -16x2
Combine like terms: 10x2 + -16x2 = -6x2
-6x2 = 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
-6x2 = 0
Divide each side by '-6'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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