Solve for d
d = \frac{53}{16} = 3\frac{5}{16} = 3.3125
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4d-7=\frac{25}{4}
Combine 3d and d to get 4d.
4d=\frac{25}{4}+7
Add 7 to both sides.
4d=\frac{25}{4}+\frac{28}{4}
Convert 7 to fraction \frac{28}{4}.
4d=\frac{25+28}{4}
Since \frac{25}{4} and \frac{28}{4} have the same denominator, add them by adding their numerators.
4d=\frac{53}{4}
Add 25 and 28 to get 53.
d=\frac{\frac{53}{4}}{4}
Divide both sides by 4.
d=\frac{53}{4\times 4}
Express \frac{\frac{53}{4}}{4} as a single fraction.
d=\frac{53}{16}
Multiply 4 and 4 to get 16.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}