10(1-p)÷3=-4÷3

Rewrite the division as a fraction.

10(1-p)3=-4÷3

Rewrite the division as a fraction.

10(1-p)3=-43

Move the negative in front of the fraction.

10(1-p)3=-43

10(1-p)3=-43

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

10(1-p)=-4

Divide each term in 10(1-p)=-4 by 10.

10(1-p)10=-410

Cancel the common factor of 10.

Cancel the common factor.

10(1-p)10=-410

Divide 1-p by 1.

1-p=-410

1-p=-410

Simplify -410.

Cancel the common factor of -4 and 10.

Factor 2 out of -4.

1-p=2(-2)10

Cancel the common factors.

Factor 2 out of 10.

1-p=2⋅-22⋅5

Cancel the common factor.

1-p=2⋅-22⋅5

Rewrite the expression.

1-p=-25

1-p=-25

1-p=-25

Move the negative in front of the fraction.

1-p=-25

1-p=-25

1-p=-25

Subtract 1 from both sides of the equation.

-p=-25-1

To write -1 as a fraction with a common denominator, multiply by 55.

-p=-25-1⋅55

Combine -1 and 55.

-p=-25+-1⋅55

Combine the numerators over the common denominator.

-p=-2-1⋅55

Simplify the numerator.

Multiply -1 by 5.

-p=-2-55

Subtract 5 from -2.

-p=-75

-p=-75

Move the negative in front of the fraction.

-p=-75

-p=-75

Multiply each term in -p=-75 by -1.

(-p)⋅-1=-75⋅-1

Multiply (-p)⋅-1.

Multiply -1 by -1.

1p=-75⋅-1

Multiply p by 1.

p=-75⋅-1

p=-75⋅-1

Multiply -75⋅-1.

Multiply -1 by -1.

p=1(75)

Multiply 75 by 1.

p=75

p=75

p=75

The result can be shown in multiple forms.

Exact Form:

p=75

Decimal Form:

p=1.4

Mixed Number Form:

p=125

Solve for p (10(1-p))÷3=-4÷3