4r^2-7r-28+49=

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Solution for 4r^2-7r-28+49= equation:


Simplifying
4r2 + -7r + -28 + 49 = 0

Reorder the terms:
-28 + 49 + -7r + 4r2 = 0

Combine like terms: -28 + 49 = 21
21 + -7r + 4r2 = 0

Solving
21 + -7r + 4r2 = 0

Solving for variable 'r'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
5.25 + -1.75r + r2 = 0

Move the constant term to the right:

Add '-5.25' to each side of the equation.
5.25 + -1.75r + -5.25 + r2 = 0 + -5.25

Reorder the terms:
5.25 + -5.25 + -1.75r + r2 = 0 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -1.75r + r2 = 0 + -5.25
-1.75r + r2 = 0 + -5.25

Combine like terms: 0 + -5.25 = -5.25
-1.75r + r2 = -5.25

The r term is -1.75r.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75r + 0.765625 + r2 = -5.25 + 0.765625

Reorder the terms:
0.765625 + -1.75r + r2 = -5.25 + 0.765625

Combine like terms: -5.25 + 0.765625 = -4.484375
0.765625 + -1.75r + r2 = -4.484375

Factor a perfect square on the left side:
(r + -0.875)(r + -0.875) = -4.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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