14+12t=4

Combine 12 and t.

14+t2=4

Subtract 14 from both sides of the equation.

t2=4-14

To write 4 as a fraction with a common denominator, multiply by 44.

t2=4⋅44-14

Combine 4 and 44.

t2=4⋅44-14

Combine the numerators over the common denominator.

t2=4⋅4-14

Simplify the numerator.

Multiply 4 by 4.

t2=16-14

Subtract 1 from 16.

t2=154

t2=154

t2=154

Multiply both sides of the equation by 2.

2⋅t2=2⋅154

Cancel the common factor of 2.

Cancel the common factor.

2⋅t2=2⋅154

Rewrite the expression.

t=2⋅154

t=2⋅154

Cancel the common factor of 2.

Factor 2 out of 4.

t=2⋅152(2)

Cancel the common factor.

t=2⋅152⋅2

Rewrite the expression.

t=152

t=152

t=152

The result can be shown in multiple forms.

Exact Form:

t=152

Decimal Form:

t=7.5

Mixed Number Form:

t=712

Solve for t 1/4+1/2t=4