x^2+17x+72.25=91.25

Simple and best practice solution for x^2+17x+72.25=91.25 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 x^2+17x+72.25=91.25 equation: 


Simplifying
x2 + 17x + 72.25 = 91.25

Reorder the terms:
72.25 + 17x + x2 = 91.25

Solving
72.25 + 17x + x2 = 91.25

Solving for variable 'x'.

Reorder the terms:
72.25 + -91.25 + 17x + x2 = 91.25 + -91.25

Combine like terms: 72.25 + -91.25 = -19
-19 + 17x + x2 = 91.25 + -91.25

Combine like terms: 91.25 + -91.25 = 0.00
-19 + 17x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '19' to each side of the equation.
-19 + 17x + 19 + x2 = 0.00 + 19

Reorder the terms:
-19 + 19 + 17x + x2 = 0.00 + 19

Combine like terms: -19 + 19 = 0
0 + 17x + x2 = 0.00 + 19
17x + x2 = 0.00 + 19

Combine like terms: 0.00 + 19 = 19
17x + x2 = 19

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = 19 + 72.25

Reorder the terms:
72.25 + 17x + x2 = 19 + 72.25

Combine like terms: 19 + 72.25 = 91.25
72.25 + 17x + x2 = 91.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 91.25

Calculate the square root of the right side: 9.552486587

Break this problem into two subproblems by setting 
(x + 8.5) equal to 9.552486587 and -9.552486587.


Subproblem 1
x + 8.5 = 9.552486587

Simplifying
x + 8.5 = 9.552486587

Reorder the terms:
8.5 + x = 9.552486587

Solving
8.5 + x = 9.552486587

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 9.552486587 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 9.552486587 + -8.5
x = 9.552486587 + -8.5

Combine like terms: 9.552486587 + -8.5 = 1.052486587
x = 1.052486587

Simplifying
x = 1.052486587


Subproblem 2
x + 8.5 = -9.552486587

Simplifying
x + 8.5 = -9.552486587

Reorder the terms:
8.5 + x = -9.552486587

Solving
8.5 + x = -9.552486587

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = -9.552486587 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -9.552486587 + -8.5
x = -9.552486587 + -8.5

Combine like terms: -9.552486587 + -8.5 = -18.052486587
x = -18.052486587

Simplifying
x = -18.052486587


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.052486587, -18.052486587}

See similar equations:

| 2(3b+2-b)-1(7-b)= | | 18/6*2 | | -3y-3+1-13y+2(-2y+1)= | | 6p-7=5 | | 20x^2-3xy-2y^2=0 | | 14b+12-9b= | | f(10)=10y*2+5y-3 | | 30x=6.3 | | 25x^2-5xy-2y^2=0 | | -30x=6.3 | | (X-9)+X+(X/2)-((X-9)/3)=243 | | 9q+57+9r+1q-3r= | | 31=-7x+5(x+5) | | x-2y=5000 | | f(y)=10y*2+5y-3 | | 5y-12x=-15 | | -2(f-9)=-24 | | c*2+2c=2c+16 | | (x-9)^2/3=4 | | (3x-12)/(x+5)*(x+6)/(2x-8) | | s+30=725 | | 13q+6-6q= | | 11=-4+2x | | h-141=127 | | 2/5(5x-15)=-14 | | 25p=100 | | 7+(a+b)= | | Y-13=-7/6(x+11) | | 13x+x^15=110 | | Q=500+-10p | | x/6+3=-2 | | 5*2+28x-49=0 |

Equations solver categories