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Simplifying
10x2 + -16 = 3x2
Reorder the terms:
-16 + 10x2 = 3x2
Solving
-16 + 10x2 = 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 + 10x2 + -3x2 = 3x2 + -3x2
Combine like terms: 10x2 + -3x2 = 7x2
-16 + 7x2 = 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-16 + 7x2 = 0
Add '16' to each side of the equation.
-16 + 16 + 7x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 7x2 = 0 + 16
7x2 = 0 + 16
Combine like terms: 0 + 16 = 16
7x2 = 16
Divide each side by '7'.
x2 = 2.285714286
Simplifying
x2 = 2.285714286
Take the square root of each side:
x = {-1.511857892, 1.511857892}
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