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-2x -5 = 2 - 4x (x - 1) ?

1 Answer

12 votes

Answer:

x=3/4+1/4√37 or x=3/4+−1/4√37

Explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

User Mike Williams
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