43k+25=-1-32k

Combine 43 and k.

4k3+25=-1-32k

Combine k and 32.

4k3+25=-1-k⋅32

Move 3 to the left of k.

4k3+25=-1-3k2

4k3+25=-1-3k2

Add 3k2 to both sides of the equation.

4k3+25+3k2=-1

To write 4k3 as a fraction with a common denominator, multiply by 22.

4k3⋅22+3k2+25=-1

To write 3k2 as a fraction with a common denominator, multiply by 33.

4k3⋅22+3k2⋅33+25=-1

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Multiply 4k3 and 22.

4k⋅23⋅2+3k2⋅33+25=-1

Multiply 3 by 2.

4k⋅26+3k2⋅33+25=-1

Multiply 3k2 and 33.

4k⋅26+3k⋅32⋅3+25=-1

Multiply 2 by 3.

4k⋅26+3k⋅36+25=-1

4k⋅26+3k⋅36+25=-1

Combine the numerators over the common denominator.

4k⋅2+3k⋅36+25=-1

Simplify each term.

Simplify the numerator.

Factor k out of 4k⋅2+3k⋅3.

Factor k out of 4k⋅2.

k(4⋅2)+3k⋅36+25=-1

Factor k out of 3k⋅3.

k(4⋅2)+k(3⋅3)6+25=-1

Factor k out of k(4⋅2)+k(3⋅3).

k(4⋅2+3⋅3)6+25=-1

k(4⋅2+3⋅3)6+25=-1

Multiply 4 by 2.

k(8+3⋅3)6+25=-1

Multiply 3 by 3.

k(8+9)6+25=-1

Add 8 and 9.

k⋅176+25=-1

k⋅176+25=-1

Move 17 to the left of k.

17k6+25=-1

17k6+25=-1

17k6+25=-1

Subtract 25 from both sides of the equation.

17k6=-1-25

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

17k6=-1⋅55-25

Combine -1 and 55.

17k6=-1⋅55-25

Combine the numerators over the common denominator.

17k6=-1⋅5-25

Simplify the numerator.

Multiply -1 by 5.

17k6=-5-25

Subtract 2 from -5.

17k6=-75

17k6=-75

Move the negative in front of the fraction.

17k6=-75

17k6=-75

Multiply both sides of the equation by 617.

617⋅17k6=617⋅(-75)

Simplify 617⋅17k6.

Cancel the common factor of 6.

Cancel the common factor.

617⋅17k6=617⋅(-75)

Rewrite the expression.

117⋅(17k)=617⋅(-75)

117⋅(17k)=617⋅(-75)

Cancel the common factor of 17.

Factor 17 out of 17k.

117⋅(17(k))=617⋅(-75)

Cancel the common factor.

117⋅(17k)=617⋅(-75)

Rewrite the expression.

k=617⋅(-75)

k=617⋅(-75)

k=617⋅(-75)

Multiply 617(-75).

Multiply 617 and 75.

k=-6⋅717⋅5

Multiply 6 by 7.

k=-4217⋅5

Multiply 17 by 5.

k=-4285

k=-4285

k=-4285

The result can be shown in multiple forms.

Exact Form:

k=-4285

Decimal Form:

k=-0.49411764…

Solve for k 4/3k+2/5=-1-3/2k