Math  /  Algebra

QuestionQuestion Watch vv
Solve the quadratic by factoring. 5x220x+14=2x+65 x^{2}-20 x+14=2 x+6

Studdy Solution
Solve for x x by setting each factor equal to zero:
5x2=0orx4=0 5x - 2 = 0 \quad \text{or} \quad x - 4 = 0
Solve each equation:
5x2=0 5x - 2 = 0 5x=2 5x = 2 x=25 x = \frac{2}{5}
x4=0 x - 4 = 0 x=4 x = 4
The solutions for x x are:
x=25andx=4 x = \frac{2}{5} \quad \text{and} \quad x = 4

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