r^2-14r+60=-10

Simple and best practice solution for r^2-14r+60=-10 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for r^2-14r+60=-10 equation: 


Simplifying
r2 + -14r + 60 = -10

Reorder the terms:
60 + -14r + r2 = -10

Solving
60 + -14r + r2 = -10

Solving for variable 'r'.

Reorder the terms:
60 + 10 + -14r + r2 = -10 + 10

Combine like terms: 60 + 10 = 70
70 + -14r + r2 = -10 + 10

Combine like terms: -10 + 10 = 0
70 + -14r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + -14r + -70 + r2 = 0 + -70

Reorder the terms:
70 + -70 + -14r + r2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -14r + r2 = 0 + -70
-14r + r2 = 0 + -70

Combine like terms: 0 + -70 = -70
-14r + r2 = -70

The r term is -14r.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14r + 49 + r2 = -70 + 49

Reorder the terms:
49 + -14r + r2 = -70 + 49

Combine like terms: -70 + 49 = -21
49 + -14r + r2 = -21

Factor a perfect square on the left side:
(r + -7)(r + -7) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 22=-8x+x | | 29=17+f | | 9x-70+6x-5=180 | | cos(x)=-0.25 | | -.2t^2+16t=0 | | 3x^3+5x^2+3x-4=0 | | 0.7x+14=21 | | Y=9x+30 | | x/2/9=2 | | t=3x+sx | | 22=8x+x | | f(3)=-4x-7 | | 5x+2x=3+x | | 50+12.25p= | | 4(6x-8)+10x= | | 12.50+400m= | | x^-2=1/25 | | 1.6*x=2x+50 | | 7+6(w-3)=11 | | 142(6/7) | | -3m+6= | | 27=4y+7 | | 6(3r-6)-6r=-87 | | 3n-55=639 | | 8k+16-12k=48 | | (log)y=2.2 | | 4(3x+4)=14x+11-2x+5 | | 6(2-3y)=20 | | x^-2=(1/25) | | 4x^2-x-100=0 | | 20-x/x=2/3 | | 6(2-3y)=30 |

Equations solver categories