Solve for I
I=\frac{-b-4}{5}
Solve for b
b=-5I-4
Quiz
Linear Equation
5 problems similar to:
- 2 ( I + 2 ) - 2 ( I + 8 ) + 8 - 2 ( I + b ) - 4 I + 4 = 0
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-2I-4-2\left(I+8\right)+8-2\left(I+b\right)-4I+4=0
Use the distributive property to multiply -2 by I+2.
-2I-4-2I-16+8-2\left(I+b\right)-4I+4=0
Use the distributive property to multiply -2 by I+8.
-4I-4-16+8-2\left(I+b\right)-4I+4=0
Combine -2I and -2I to get -4I.
-4I-20+8-2\left(I+b\right)-4I+4=0
Subtract 16 from -4 to get -20.
-4I-12-2\left(I+b\right)-4I+4=0
Add -20 and 8 to get -12.
-4I-12-2I-2b-4I+4=0
Use the distributive property to multiply -2 by I+b.
-6I-12-2b-4I+4=0
Combine -4I and -2I to get -6I.
-10I-12-2b+4=0
Combine -6I and -4I to get -10I.
-10I-8-2b=0
Add -12 and 4 to get -8.
-10I-2b=8
Add 8 to both sides. Anything plus zero gives itself.
-10I=8+2b
Add 2b to both sides.
-10I=2b+8
The equation is in standard form.
\frac{-10I}{-10}=\frac{2b+8}{-10}
Divide both sides by -10.
I=\frac{2b+8}{-10}
Dividing by -10 undoes the multiplication by -10.
I=\frac{-b-4}{5}
Divide 8+2b by -10.
-2I-4-2\left(I+8\right)+8-2\left(I+b\right)-4I+4=0
Use the distributive property to multiply -2 by I+2.
-2I-4-2I-16+8-2\left(I+b\right)-4I+4=0
Use the distributive property to multiply -2 by I+8.
-4I-4-16+8-2\left(I+b\right)-4I+4=0
Combine -2I and -2I to get -4I.
-4I-20+8-2\left(I+b\right)-4I+4=0
Subtract 16 from -4 to get -20.
-4I-12-2\left(I+b\right)-4I+4=0
Add -20 and 8 to get -12.
-4I-12-2I-2b-4I+4=0
Use the distributive property to multiply -2 by I+b.
-6I-12-2b-4I+4=0
Combine -4I and -2I to get -6I.
-10I-12-2b+4=0
Combine -6I and -4I to get -10I.
-10I-8-2b=0
Add -12 and 4 to get -8.
-8-2b=10I
Add 10I to both sides. Anything plus zero gives itself.
-2b=10I+8
Add 8 to both sides.
\frac{-2b}{-2}=\frac{10I+8}{-2}
Divide both sides by -2.
b=\frac{10I+8}{-2}
Dividing by -2 undoes the multiplication by -2.
b=-5I-4
Divide 10I+8 by -2.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}