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Write the quadratic equation in standard form:

6x^(2)+7x-9=4x^(2)
Answer:

Write the quadratic equation in standard form:\newline6x2+7x9=4x2 6 x^{2}+7 x-9=4 x^{2} \newlineAnswer:

Full solution

Q. Write the quadratic equation in standard form:\newline6x2+7x9=4x2 6 x^{2}+7 x-9=4 x^{2} \newlineAnswer:
  1. Subtract x2x^{2}: Subtract 4x24x^{2} from both sides of the equation to move all x2x^{2} terms to the left side.\newline6x24x2+7x9=06x^{2} - 4x^{2} + 7x - 9 = 0
  2. Combine like terms: Combine like terms on the left side of the equation.\newline(6x24x2)+7x9=0(6x^{2} - 4x^{2}) + 7x - 9 = 0\newline2x2+7x9=02x^{2} + 7x - 9 = 0
  3. Check equation: Check that all terms are on the left side and the equation is equal to zero.\newline2x2+7x9=02x^{2} + 7x - 9 = 0\newlineThis is the standard form of a quadratic equation, which is ax2+bx+c=0ax^{2} + bx + c = 0.
  4. Verify coefficients: Verify that the coefficients are correctly placed and that there are no mathematical errors.\newlineThe coefficient of x2x^{2} is 22, the coefficient of xx is 77, and the constant term is 9-9.

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