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Write the quadratic equation in standard form:6, x, squared, minus, 2, plus, 4, x, equals, 3, x, plus, 2, x, squared6x 2 −2+4x=3x+2x 2

Question

Write the quadratic equation in standard form:6, x, squared, minus, 2, plus, 4, x, equals, 3, x, plus, 2, x, squared6x 2 −2+4x=3x+2x 2

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Solution

The given equation is: 6x^2 - 2 + 4x = 3x + 2x^2

First, we need to bring all terms to one side of the equation to set it equal to zero. This gives us:

6x^2 - 2x^2 + 4x - 3x - 2 = 0

Simplify the equation by combining like terms:

4x^2 + x - 2 = 0

So, the quadratic equation in standard form is 4x^2 + x - 2 = 0.

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