Solve. 7(2z-4)=0 Answer: z= Submit Answer

Understand the equation: Understand the equation and what it means for it to be equal to zero. The equation 7(2z-4)=0 implies that the product of 7 and (2z-4) is zero. For a product to be zero, at least one of the factors must be zero. In this case, since 7 is not zero, the factor (2z-4) must be zero.Set factor equal: Set the factor (2z-4) equal to zero. To find the value of z, we need to solve the equation 2z-4=0.Solve for z: Solve for z. Add 4 to both sides of the equation to isolate the term with z on one side: 2z-4+4=0+4 This simplifies to: 2z=4Divide to solve: Divide both sides of the equation by 2 to solve for z. 2z/2=4/2 This simplifies to: z=2

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Grade 8

Write an equation word problem

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Q. Solve.

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7(2 z-4)=0

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Answer:

z=

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Submit Answer

Understand the equation: Understand the equation and what it means for it to be equal to zero. $\newline$ The equation $7(2z-4)=0$ implies that the product of $7$ and $(2z-4)$ is zero. For a product to be zero, at least one of the factors must be zero. In this case, since $7$ is not zero, the factor $(2z-4)$ must be zero.
Set factor equal: Set the factor $(2z-4)$ equal to zero. $\newline$ To find the value of $z$ , we need to solve the equation $2z-4=0$ .
Solve for z: Solve for z. $\newline$ Add $4$ to both sides of the equation to isolate the term with $z$ on one side: $\newline$ $2z-4+4=0+4$ $\newline$ This simplifies to: $\newline$ $2z=4$
Divide to solve: Divide both sides of the equation by $2$ to solve for $z$ . $\newline$ $\frac{2z}{2}=\frac{4}{2}$ $\newline$ This simplifies to: $\newline$ $z=2$