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Possible multiple both side by -1 to change sign when RHS has 0 ? a−b+c=-a+b-c

HbWhi5F
in Homework Help

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What makes me think this -

Here RHS is substracted from both sides and x^2 terms are also combined. then both sides are multiplied by -1 that seems like cheating, just flipping signs.

image.png

1 hour ago, HbWhi5F said:

What makes me think this -

Here RHS is substracted from both sides and x^2 terms are also combined. then both sides are multiplied by -1 that seems like cheating, just flipping signs.

image.png

Hasn't the text simply swapped around lhs and rhs to put the quadratic in its standard form?

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Original question Can one multiply both sides by -1 to flip signs ?

Steps -

  1. Here RHS is subtracted from both sides, giving us 0 on 1 side

  2. x^2- 4.24^2 is combined

  3. both sides are multiplied by -1, to flip the signs.

that seems like cheating, just flipping signs. If LHS where subtracted from the both sides we would have still got the same result ?

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