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Exercise

$x^3+x^2-2x=0$

Step-by-step Solution

Learn how to solve equations problems step by step online. Solve the equation x^3+x^2-2x=0. Factor the polynomial x^3+x^2-2x by it's greatest common factor (GCF): x. Factor the trinomial \left(x^2+x-2\right) finding two numbers that multiply to form -2 and added form 1. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Break the equation in 3 factors and set each factor equal to zero, to obtain simpler equations.
Solve the equation x^3+x^2-2x=0

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Final answer to the exercise

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

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Similar Questions Solved

$\log_3\left(81\right)=4$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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