Step 1 of 10
Start
Read the fraction bar as division.
Demo equation
x4=−6
y−3=8
g−2=−7
Read
›
Rebuild x
›
Cancel ÷
›
Check
Read the operation
x4=−6
÷ 4
x is split into 4 equal parts.
The equation says each part has value −6.
The equation says each part has value −6.
To rebuild the whole x, collect four equal copies of −6.
Use the divisor as the copy count
One quotient card is known. Four matching cards rebuild the whole unknown.
x ÷ 4
→
−6
−6
−6
−6
−6
four equal parts rebuild x
× 4 on both sides
x = 4 × (−6) = −24
Write the same rebuild in symbols
The operation badge arrives first; the equation records what the copy press already showed.
× 4 on both sides
x4
× 4=−6× 4
÷ 4 and × 4 undo each other
x = −24
Put −24 into the original equation
A correct solution must reproduce the original quotient.
−244=−6
Four equal groups of −6 combine to −24, so −24 divided into four equal parts returns −6.
true ✓ solution verified
Multiply by the entire signed divisor
On the right, multiply 8 by (−3). Keep the minus sign attached.
y−3=8
3copy count
−negative direction
× (−3) on both sides
8×(−3)=−24
−8
−8
−8
y = −24
−24 ÷ (−3) = 8 ✓
Your turn: isolate g
Multiply by the entire divisor, including its sign.
Use −7 × (−2), then substitute your value to check.
✎
Solve on your whiteboard
Show ×(−2) on both sides and substitute your value into g ÷ (−2) = −7. Submit when you are ready.
Work submitted. The rebuilt solution is unlocked.
Rebuild the unknown, then check
The same inverse move works for positive and negative divisors.
inverse× (−2) on both sides
rebuild−7 × (−2) = 14
solutiong = 14
check14 ÷ (−2) = −7 ✓
Reliable rule: for x ÷ a = b, multiply both sides by the entire divisor a. Then substitute to check.