Solve for x x^2-7x-10=-2x-4

Problem

x2−7*x−10=−2*x−4

Solution

1. Rearrange the equation to set it to zero by adding 2*x and 4 to both sides.

x2−7*x+2*x−10+4=0

2. Combine like terms to simplify the quadratic equation.

x2−5*x−6=0

3. Factor the quadratic expression by finding two numbers that multiply to −6 and add to −5

(x−6)*(x+1)=0

4. Apply the zero product property by setting each factor equal to zero.

x−6=0

x+1=0

5. Solve for x in each linear equation.

x=6

x=−1

Final Answer

x=6,−1

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