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solve: 5/2x+1/4x=9/4+x

• Math, not "12th grade" -

Assistance needed.

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5/2x + 1/4x = 9/4 + x

Multiply both sides by 4x

10 + 1 = 9x + 4x^2

Bring all terms to one side of the equation.

4x^2 + 9x -11 = 0

Unfortunately, this equation does not factor. To get - 11, it factors into 11 and - 1 or -11 and 1. The other side (4x^2) can factor into both 2x or x and 4x. However, none of these combinations will give 9x. Do you have it written correctly?

Continue with abc formula so x = -9 + sqrt257 / 8 or x = -9 + sqrt257 / 8

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