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Write the quadratic equation in standard form:

-x^(2)+x+10=-3x^(2)
Answer:

Write the quadratic equation in standard form:\newlinex2+x+10=3x2 -x^{2}+x+10=-3 x^{2} \newlineAnswer:

Full solution

Q. Write the quadratic equation in standard form:\newlinex2+x+10=3x2 -x^{2}+x+10=-3 x^{2} \newlineAnswer:
  1. Add x2x^2: We will add x2x^2 to both sides to start combining like terms.\newlinex2+x+10+x2=3x2+x2-x^2 + x + 10 + x^2 = -3x^2 + x^2\newlineThis simplifies to:\newlinex+10=2x2x + 10 = -2x^2
  2. Move terms: Now, we will move all terms to one side to get the standard form. \newlinex+10+2x2=0x + 10 + 2x^2 = 0\newlineThis simplifies to:\newline2x2+x+10=02x^2 + x + 10 = 0
  3. Standard form: We have successfully rearranged the equation into standard form. The standard form of a quadratic equation is ax2+bx+c=0ax^2 + bx + c = 0, where aa, bb, and cc are constants.

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