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Simplifying
5x2 + -6 = 29
Reorder the terms:
-6 + 5x2 = 29
Solving
-6 + 5x2 = 29
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 5x2 = 29 + 6
Combine like terms: -6 + 6 = 0
0 + 5x2 = 29 + 6
5x2 = 29 + 6
Combine like terms: 29 + 6 = 35
5x2 = 35
Divide each side by '5'.
x2 = 7
Simplifying
x2 = 7
Take the square root of each side:
x = {-2.645751311, 2.645751311}
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