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Simplifying
9x * 9x + 5 = 41
Reorder the terms for easier multiplication:
9 * 9x * x + 5 = 41
Multiply 9 * 9
81x * x + 5 = 41
Multiply x * x
81x2 + 5 = 41
Reorder the terms:
5 + 81x2 = 41
Solving
5 + 81x2 = 41
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 81x2 = 41 + -5
Combine like terms: 5 + -5 = 0
0 + 81x2 = 41 + -5
81x2 = 41 + -5
Combine like terms: 41 + -5 = 36
81x2 = 36
Divide each side by '81'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
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