Question
2x2−4x3
Simplify the expression
48x2−x3
Evaluate
2x2−4x3
Reduce fractions to a common denominator
42x2×4−4x3
Write all numerators above the common denominator
42x2×4−x3
Solution
48x2−x3
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Find the roots
x1=0,x2=8
Evaluate
2x2−4x3
To find the roots of the expression,set the expression equal to 0
2x2−4x3=0
Subtract the terms
More Steps

Simplify
2x2−4x3
Reduce fractions to a common denominator
42x2×4−4x3
Write all numerators above the common denominator
42x2×4−x3
Multiply the terms
48x2−x3
48x2−x3=0
Simplify
8x2−x3=0
Factor the expression
x2(8−x)=0
Separate the equation into 2 possible cases
x2=08−x=0
The only way a power can be 0 is when the base equals 0
x=08−x=0
Solve the equation
More Steps

Evaluate
8−x=0
Move the constant to the right-hand side and change its sign
−x=0−8
Removing 0 doesn't change the value,so remove it from the expression
−x=−8
Change the signs on both sides of the equation
x=8
x=0x=8
Solution
x1=0,x2=8
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