Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x∈∅
Alternative Form
No solution
Evaluate
32x−4=2∣x−3∣×2
Multiply the terms
32x−4=4∣x−3∣
Move the expression to the left side
32x−4−4∣x−3∣=0
Separate the equation into 2 possible cases
32x−4−4(x−3)=0,x−3≥032x−4−4(−(x−3))=0,x−3<0
Solve the equation
More Steps
Evaluate
32x−4−4(x−3)=0
Calculate
More Steps
Evaluate
32x−4−4(x−3)
Expand the expression
32x−4−4x+12
Subtract the terms
−310x−4+12
Add the numbers
−310x+8
−310x+8=0
Move the constant to the right-hand side and change its sign
−310x=0−8
Removing 0 doesn't change the value,so remove it from the expression
−310x=−8
Change the signs on both sides of the equation
310x=8
Multiply by the reciprocal
310x×103=8×103
Multiply
x=8×103
Multiply
More Steps
Evaluate
8×103
Reduce the numbers
4×53
Multiply the numbers
54×3
Multiply the numbers
512
x=512
x=512,x−3≥032x−4−4(−(x−3))=0,x−3<0
Solve the inequality
More Steps
Evaluate
x−3≥0
Move the constant to the right side
x≥0+3
Removing 0 doesn't change the value,so remove it from the expression
x≥3
x=512,x≥332x−4−4(−(x−3))=0,x−3<0
Solve the equation
More Steps
Evaluate
32x−4−4(−(x−3))=0
Calculate
32x−4−4(−x+3)=0
Calculate
More Steps
Evaluate
32x−4−4(−x+3)
Expand the expression
32x−4+4x−12
Add the terms
314x−4−12
Subtract the numbers
314x−16
314x−16=0
Move the constant to the right-hand side and change its sign
314x=0+16
Removing 0 doesn't change the value,so remove it from the expression
314x=16
Multiply by the reciprocal
314x×143=16×143
Multiply
x=16×143
Multiply
More Steps
Evaluate
16×143
Reduce the numbers
8×73
Multiply the numbers
78×3
Multiply the numbers
724
x=724
x=512,x≥3x=724,x−3<0
Solve the inequality
More Steps
Evaluate
x−3<0
Move the constant to the right side
x<0+3
Removing 0 doesn't change the value,so remove it from the expression
x<3
x=512,x≥3x=724,x<3
Find the intersection
x∈∅x=724,x<3
Find the intersection
x∈∅x∈∅
Solution
x∈∅
Alternative Form
No solution
Show Solution
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