Question
Solve the equation
Solve for x
Solve for m
x=0x=2∣m∣2x=−2∣m∣2
Evaluate
x2−2(m×1)x4m=0
Remove the parentheses
x2−2m×1×x4m=0
Multiply the terms
More Steps

Evaluate
2m×1×x4m
Rewrite the expression
2mx4m
Multiply the terms
2m2x4
x2−2m2x4=0
Factor the expression
x2(1−2m2x2)=0
Separate the equation into 2 possible cases
x2=01−2m2x2=0
The only way a power can be 0 is when the base equals 0
x=01−2m2x2=0
Solution
More Steps

Evaluate
1−2m2x2=0
Move the constant to the right-hand side and change its sign
−2m2x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2m2x2=−1
Divide both sides
−2m2−2m2x2=−2m2−1
Divide the numbers
x2=−2m2−1
Cancel out the common factor −1
x2=2m21
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2m21
Simplify the expression
More Steps

Evaluate
2m21
To take a root of a fraction,take the root of the numerator and denominator separately
2m21
Simplify the radical expression
2m21
Simplify the radical expression
2×∣m∣1
Multiply by the Conjugate
2×∣m∣×21×2
Calculate
2∣m∣1×2
Calculate
∣m∣×22
Simplify
2∣m∣2
x=±2∣m∣2
Separate the equation into 2 possible cases
x=2∣m∣2x=−2∣m∣2
x=0x=2∣m∣2x=−2∣m∣2
Show Solution
