12d-34=35d

Combine 12 and d.

d2-34=35d

Combine 35 and d.

d2-34=3d5

Subtract 3d5 from both sides of the equation.

d2-34-3d5=0

To write d2 as a fraction with a common denominator, multiply by 55.

d2⋅55-3d5-34=0

To write -3d5 as a fraction with a common denominator, multiply by 22.

d2⋅55-3d5⋅22-34=0

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply d2 and 55.

d⋅52⋅5-3d5⋅22-34=0

Multiply 2 by 5.

d⋅510-3d5⋅22-34=0

Multiply 3d5 and 22.

d⋅510-3d⋅25⋅2-34=0

Multiply 5 by 2.

d⋅510-3d⋅210-34=0

d⋅510-3d⋅210-34=0

Combine the numerators over the common denominator.

d⋅5-3d⋅210-34=0

Simplify each term.

Simplify the numerator.

Factor d out of d⋅5-3d⋅2.

Factor d out of d⋅5.

d(5)-3d⋅210-34=0

Factor d out of -3d⋅2.

d(5)+d(-3⋅2)10-34=0

Factor d out of d(5)+d(-3⋅2).

d(5-3⋅2)10-34=0

d(5-3⋅2)10-34=0

Multiply -3 by 2.

d(5-6)10-34=0

Subtract 6 from 5.

d⋅-110-34=0

d⋅-110-34=0

Move -1 to the left of d.

-1⋅d10-34=0

Move the negative in front of the fraction.

-d10-34=0

-d10-34=0

-d10-34=0

Add 34 to both sides of the equation.

-d10=34

Multiply both sides of the equation by -10.

-10⋅(-d10)=-10⋅34

Simplify -10⋅(-d10).

Cancel the common factor of 10.

Move the leading negative in -d10 into the numerator.

-10⋅-d10=-10⋅34

Factor 10 out of -10.

10(-1)⋅-d10=-10⋅34

Cancel the common factor.

10⋅-1⋅-d10=-10⋅34

Rewrite the expression.

-1⋅(-d)=-10⋅34

-1⋅(-d)=-10⋅34

Multiply.

Multiply -1 by -1.

1⋅d=-10⋅34

Multiply d by 1.

d=-10⋅34

d=-10⋅34

d=-10⋅34

Simplify -10⋅34.

Cancel the common factor of 2.

Factor 2 out of -10.

d=2(-5)⋅34

Factor 2 out of 4.

d=2⋅-5⋅32⋅2

Cancel the common factor.

d=2⋅-5⋅32⋅2

Rewrite the expression.

d=-5⋅32

d=-5⋅32

Combine -5 and 32.

d=-5⋅32

Simplify the expression.

Multiply -5 by 3.

d=-152

Move the negative in front of the fraction.

d=-152

d=-152

d=-152

d=-152

The result can be shown in multiple forms.

Exact Form:

d=-152

Decimal Form:

d=-7.5

Mixed Number Form:

d=-712

Solve for d 1/2d-3/4=3/5d