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Simplifying
10x2 + -16 = -14x2 + 10 + 50
Reorder the terms:
-16 + 10x2 = -14x2 + 10 + 50
Reorder the terms:
-16 + 10x2 = 10 + 50 + -14x2
Combine like terms: 10 + 50 = 60
-16 + 10x2 = 60 + -14x2
Solving
-16 + 10x2 = 60 + -14x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14x2' to each side of the equation.
-16 + 10x2 + 14x2 = 60 + -14x2 + 14x2
Combine like terms: 10x2 + 14x2 = 24x2
-16 + 24x2 = 60 + -14x2 + 14x2
Combine like terms: -14x2 + 14x2 = 0
-16 + 24x2 = 60 + 0
-16 + 24x2 = 60
Add '16' to each side of the equation.
-16 + 16 + 24x2 = 60 + 16
Combine like terms: -16 + 16 = 0
0 + 24x2 = 60 + 16
24x2 = 60 + 16
Combine like terms: 60 + 16 = 76
24x2 = 76
Divide each side by '24'.
x2 = 3.166666667
Simplifying
x2 = 3.166666667
Take the square root of each side:
x = {-1.779513042, 1.779513042}
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