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Exercise

$\left(x+1\right)\left(x-2\right)=0$

Step-by-step Solution

1

Break the equation in $2$ factors and set each factor equal to zero, to obtain simpler equations

$x+1=0,\:x-2=0$
2

Solve the equation ($1$)

$x+1=0$
3

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation

$x+1-1=0-1$
4

Canceling terms on both sides

$x=-1$
5

Solve the equation ($2$)

$x-2=0$
6

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-2$ from both sides of the equation

$x-2+2=0+2$
7

Canceling terms on both sides

$x=2$
8

Combining all solutions, the $2$ solutions of the equation are

$x=-1,\:x=2$

Final answer to the exercise

$x=-1,\:x=2$

Try other ways to solve this exercise

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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