Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)

9514 1404 393

  x = 8/7

Step-by-step explanation:

  .2(.7x-5)+0.2=1.4(x-1.6) . . . . given

Eliminating parentheses, we have ...

  0.14x -1 +0.2 = 1.4x -2.24

  1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides

  x = 1.44/1.26 . . . . . . divide by the coefficient of x

  x = 8/7 . . . . . . . . . . .simplify the fraction

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As a repeating decimal, the value of x is ...

However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)

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Additional comment

The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.