Solve each equation for x. a²x + 3x =2a²

Question

Accepted Answer

Hey everyone here we are asked to write the value of Z. In terms of P. In the given equation of three P squared times Z plus two, Z is equal to five P squared. So to write the value of Z, we just need to solve for Z in our given equation so that our Z will be in terms of peace. And so looking at the left hand side of the equation, we see that we have all of our Z terms already grouped together so we can go ahead and factor out Z from both terms. So doing this, we have Z times the quantity of three P squared plus two, this is equal to five P squared. And now again we want to get Z all alone. So that means we need to move this quantity of three P squared plus two to the right hand side of our equation. So that means we just need to divide both sides by this expression here. So we divide the left and right hand side by the quantity of three P squared plus two. And so now rewriting our equation, we see on the left hand side that both of the expressions cancel out. So we are left with just Z is equal to five P squared divided by the quantity of three P squared plus two. And so now we have successfully solved for the value of Z in terms of the variable P. And so this is our final answer which is answer choice B. Thanks for watching. I hope you found this video helpful. And I'll see you again next time.

Solve each equation for x. a²x + 3x =2a²

Key Concepts

Factoring

Linear Equations

Isolating the Variable

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