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Write the quadratic equation in standard form:

-4x+19=4x^(2)
Answer:

Write the quadratic equation in standard form:\newline4x+19=4x2 -4 x+19=4 x^{2} \newlineAnswer:

Full solution

Q. Write the quadratic equation in standard form:\newline4x+19=4x2 -4 x+19=4 x^{2} \newlineAnswer:
  1. Move terms to one side: First, we move all terms to one side of the equation to set it equal to zero.\newlineSubtract 4x-4x from both sides and subtract 1919 from both sides to get:\newline4x2+4x19=04x^2 + 4x - 19 = 0
  2. Check standard form: Now, we check to ensure that the equation is in standard form, which is ax2+bx+c=0ax^2 + bx + c = 0. The equation 4x2+4x19=04x^2 + 4x - 19 = 0 is indeed in standard form, with a=4a = 4, b=4b = 4, and c=19c = -19.
  3. Verify common factors: Finally, we verify that there are no common factors that can be factored out of all terms. Since 44, 44, and 19-19 do not have a common factor other than 11, we cannot simplify the equation further.

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