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Algebra

Algebra Explained

What are some examples of algebraic equation solutions?

The following lists some simple solutions to selected algebraic equations:

  • Solve for the equation 4x - 4 = 12

    add 4 to each side: 4x = 16

    divide both sides by 4: x = 16/4

    solve for x: x = 4

  • Solve for the equation (x + 3)2 - 4x = (x—1)2 + 3

    expand each side by doing the operations in the parentheses: x2 + 2x + 9 =

    x2 - 2x + 4

    then add -x2 to each side (another way of subtracting):

    2x + 9 = -2x + 4

    then add 2x to each side: 4x + 9 = 4

    then add -9 to each side: 4x = -5

    then multiply each side by 1/4 (divide by 4): x = -5/4

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