To simplify the complex fraction 3x - 7x / 2x^2 + 2x, we first need to find a common denominator for the numerators.
Step 1: Simplify the numerator (3x - 7x)
3x - 7x = -4x
Step 2: Find the common denominator
The common denominator for the numerators is 2x.
Step 3: Rewrite the complex fraction with the common denominator
(-4x / 1) / (2x^2 + 2x / 1) = -4x / 2x(2 + 1)
Step 4: Simplify the complex fraction
-4x / 2x(2 + 1) = -4x / 2x(3) = -4x / 6x = -2/3
Therefore, the simplified complex fraction is -2/3.
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Simplify the complex fraction.
3x−7x2x22+2x
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