Solve for x 9x^2-5x=3

Math
9×2-5x=3
Move 3 to the left side of the equation by subtracting it from both sides.
9×2-5x-3=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=9, b=-5, and c=-3 into the quadratic formula and solve for x.
5±(-5)2-4⋅(9⋅-3)2⋅9
Simplify.
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Simplify the numerator.
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Raise -5 to the power of 2.
x=5±25-4⋅(9⋅-3)2⋅9
Multiply 9 by -3.
x=5±25-4⋅-272⋅9
Multiply -4 by -27.
x=5±25+1082⋅9
Add 25 and 108.
x=5±1332⋅9
x=5±1332⋅9
Multiply 2 by 9.
x=5±13318
x=5±13318
The final answer is the combination of both solutions.
x=5+13318,5-13318
The result can be shown in multiple forms.
Exact Form:
x=5+13318,5-13318
Decimal Form:
x=0.91847569…,-0.36292014…
Solve for x 9x^2-5x=3

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