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Simplifying
9x2 + 10 = 52
Reorder the terms:
10 + 9x2 = 52
Solving
10 + 9x2 = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 9x2 = 52 + -10
Combine like terms: 10 + -10 = 0
0 + 9x2 = 52 + -10
9x2 = 52 + -10
Combine like terms: 52 + -10 = 42
9x2 = 42
Divide each side by '9'.
x2 = 4.666666667
Simplifying
x2 = 4.666666667
Take the square root of each side:
x = {-2.1602469, 2.1602469}
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