-x^2+7x+10=0

Simple and best practice solution for -x^2+7x+10=0 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+7x+10=0 equation:


Simplifying
-1x2 + 7x + 10 = 0

Reorder the terms:
10 + 7x + -1x2 = 0

Solving
10 + 7x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-10 + -7x + x2 = 0

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -7x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -7x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7x + x2 = 0 + 10
-7x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-7x + x2 = 10

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 10 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 10 + 12.25

Combine like terms: 10 + 12.25 = 22.25
12.25 + -7x + x2 = 22.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
x + -3.5 = 4.716990566

Simplifying
x + -3.5 = 4.716990566

Reorder the terms:
-3.5 + x = 4.716990566

Solving
-3.5 + x = 4.716990566

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.716990566 + 3.5
x = 4.716990566 + 3.5

Combine like terms: 4.716990566 + 3.5 = 8.216990566
x = 8.216990566

Simplifying
x = 8.216990566


Subproblem 2
x + -3.5 = -4.716990566

Simplifying
x + -3.5 = -4.716990566

Reorder the terms:
-3.5 + x = -4.716990566

Solving
-3.5 + x = -4.716990566

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.716990566 + 3.5
x = -4.716990566 + 3.5

Combine like terms: -4.716990566 + 3.5 = -1.216990566
x = -1.216990566

Simplifying
x = -1.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.216990566, -1.216990566}

See similar equations:

| 12=2+z/(-6) | | -4(n+4)-6n=-86 | | 2x+x+2+2x+4=x | | 2x+x+2+2x=4 | | -10=-7n+5n | | 6v=96 | | 15--57=p | | 5x^2-20x+15= | | 12a-11=9q-1 | | 2x^2-6k=10 | | 2m-7m=-10 | | (9y+7)-(8y+7)= | | 2xsquared-6k=10 | | 8+4p+4p=0 | | 6a-7=7 | | 2.8=-10(0.9+Y) | | 2-7k=40 | | x^2+20x+100=-x^2-16x+388 | | x=10/2+8 | | 5x+8=2y+x | | mx+n=2mx-nforx | | 2x(3+x)=24 | | 5p+9=41 | | -21=6-7x+8 | | 8y-(6y-5)= | | 10=x/2+8 | | 20-t=4t | | 80-5=1/7 | | (x)=x/2+8 | | -11=n-6-6n | | 5x-7=4x-6 | | 3x+9y+11+5x+-4y+8= |

Equations solver categories