Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=2
Evaluate
∣4x−8∣×(6−3x)2=0
Any expression multiplied by 1 remains the same
9(2−x)2∣4x−8∣=0
Elimination the left coefficient
(2−x)2∣4x−8∣=0
Separate the equation into 2 possible cases
(2−x)2=0∣4x−8∣=0
Solve the equation
More Steps
Evaluate
(2−x)2=0
The only way a power can be 0 is when the base equals 0
2−x=0
Move the constant to the right-hand side and change its sign
−x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x=−2
Change the signs on both sides of the equation
x=2
x=2∣4x−8∣=0
Solve the equation
More Steps
Evaluate
∣4x−8∣=0
Rewrite the expression
4x−8=0
Move the constant to the right-hand side and change its sign
4x=0+8
Removing 0 doesn't change the value,so remove it from the expression
4x=8
Divide both sides
44x=48
Divide the numbers
x=48
Divide the numbers
More Steps
Evaluate
48
Reduce the numbers
12
Calculate
2
x=2
x=2x=2
Solution
x=2
Show Solution
Graph
