# Solve for z (4z+3)(4-z)=0 (4z+3)(4-z)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
4z+3=0
4-z=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
4z+3=0
Subtract 3 from both sides of the equation.
4z=-3
Divide each term by 4 and simplify.
Divide each term in 4z=-3 by 4.
4z4=-34
Cancel the common factor of 4.
Cancel the common factor.
4z4=-34
Divide z by 1.
z=-34
z=-34
Move the negative in front of the fraction.
z=-34
z=-34
z=-34
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
4-z=0
Subtract 4 from both sides of the equation.
-z=-4
Multiply each term in -z=-4 by -1
Multiply each term in -z=-4 by -1.
(-z)⋅-1=(-4)⋅-1
Multiply (-z)⋅-1.
Multiply -1 by -1.
1z=(-4)⋅-1
Multiply z by 1.
z=(-4)⋅-1
z=(-4)⋅-1
Multiply -4 by -1.
z=4
z=4
z=4
The final solution is all the values that make (4z+3)(4-z)=0 true.
z=-34,4
The result can be shown in multiple forms.
Exact Form:
z=-34,4
Decimal Form:
z=-0.75,4
Solve for z (4z+3)(4-z)=0

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