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Write the quadratic equation in standard form:

-x^(2)-6=-6x
Answer:

Write the quadratic equation in standard form:\newlinex26=6x -x^{2}-6=-6 x \newlineAnswer:

Full solution

Q. Write the quadratic equation in standard form:\newlinex26=6x -x^{2}-6=-6 x \newlineAnswer:
  1. Add 6x6x to both sides: First, add 6x6x to both sides of the equation to move the term involving xx to the left side.\newlinex26+6x=6x+6x-x^2 - 6 + 6x = -6x + 6x\newlineThis simplifies to:\newlinex2+6x6=0-x^2 + 6x - 6 = 0
  2. Multiply by 1-1: Now, we have the quadratic equation in standard form. However, it is customary to write the x2x^2 term as positive. To do this, we can multiply the entire equation by 1-1.\newlineMultiplying by 1-1, we get:\newline(1)(x2+6x6)=(1)(0)(-1)(-x^2 + 6x - 6) = (-1)(0)\newlineThis simplifies to:\newlinex26x+6=0x^2 - 6x + 6 = 0
  3. Final standard form: We have now successfully written the quadratic equation in standard form. The final standard form of the quadratic equation is x26x+6=0x^2 - 6x + 6 = 0.

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