Question
Solve the equation
Solve for x
Solve for m
x=2105×mx=−2105×m
Evaluate
(3x(2x×1))−(2x×x×1)=105m2
Remove the parentheses
(3x×2x×1)−(2x×x×1)=105m2
Simplify
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Evaluate
(3x×2x×1)−(2x×x×1)
Multiply the terms
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Multiply the terms
3x×2x×1
Rewrite the expression
3x×2x
Multiply the terms
6x×x
Multiply the terms
6x2
6x2−(2x×x×1)
Multiply the terms
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Multiply the terms
2x×x×1
Rewrite the expression
2x×x
Multiply the terms
2x2
6x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(6−2)x2
Subtract the numbers
4x2
4x2=105m2
Divide both sides
44x2=4105m2
Divide the numbers
x2=4105m2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4105m2
Simplify the expression
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Evaluate
4105m2
To take a root of a fraction,take the root of the numerator and denominator separately
4105m2
Simplify the radical expression
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
2105m2
x=±2105m2
Separate the equation into 2 possible cases
x=2105m2x=−2105m2
Simplify
x=2105×mx=−2105m2
Solution
x=2105×mx=−2105×m
Show Solution
