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Absolute Value Equations Calculator
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The absolute value of a real number n, [n] is the distance from zero t n on a real number line. When solving the an equation that contains an absolute value, isolate the expression containing the absolute value. Then write two equations, one with a positive value and one with a negative value. 

The absolute value of a number is always a positive number or zero. An equation containing an absolute value symbol is called an absolute value equation.

Default equation is given in the calculator below. When you click on "Evaluate", absolute value equation is isolated into two separate equations, giving two values, one with positive value and another with negative value.

 

Steps for Absolute Value Equations Calculator

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Step 1 :  

Read the problem and note down the given values.



Step 2 :  

Enter the values to get the absolute value equations.



Problems on Absolute Value Equations Calculator

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  1. Solve [3x + 4] = 10


    Step 1 :  

    Given data


    [3x + 4] = 10



    Step 2 :  

    [3x + 4] = -10 or 3x + 4 = 10
    3x + 4 - 4 = 10 - 4
    3x = 6
    x = 2



    Answer  :  

    The answer is x=2.



  2. Solve [2x-1] + 3 = 8


    Step 1 :  

    Given data


    [2x-1] + 3 = 8



    Step 2 :  

    [2x - 1] + 3 = 8
    [2x - 1] = 5
    2x - 1 = -5 or 2x - 1 = 5
    2x = -4, 2x = 6
    x = -2, x = 3



    Answer  :  

    The solutions are x = -2 and x = 3 



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