x^2-14x=-10

Simple and best practice solution for x^2-14x=-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 x^2-14x=-10 equation:


Simplifying
x2 + -14x = -10

Reorder the terms:
-14x + x2 = -10

Solving
-14x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
10 + -14x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -14x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -14x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -14x + x2 = 0 + -10
-14x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-14x + x2 = -10

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

Add '49' to each side of the equation.
-14x + 49 + x2 = -10 + 49

Reorder the terms:
49 + -14x + x2 = -10 + 49

Combine like terms: -10 + 49 = 39
49 + -14x + x2 = 39

Factor a perfect square on the left side:
(x + -7)(x + -7) = 39

Calculate the square root of the right side: 6.244997998

Break this problem into two subproblems by setting 
(x + -7) equal to 6.244997998 and -6.244997998.

Subproblem 1

x + -7 = 6.244997998 Simplifying x + -7 = 6.244997998 Reorder the terms: -7 + x = 6.244997998 Solving -7 + x = 6.244997998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 6.244997998 + 7 Combine like terms: -7 + 7 = 0 0 + x = 6.244997998 + 7 x = 6.244997998 + 7 Combine like terms: 6.244997998 + 7 = 13.244997998 x = 13.244997998 Simplifying x = 13.244997998

Subproblem 2

x + -7 = -6.244997998 Simplifying x + -7 = -6.244997998 Reorder the terms: -7 + x = -6.244997998 Solving -7 + x = -6.244997998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = -6.244997998 + 7 Combine like terms: -7 + 7 = 0 0 + x = -6.244997998 + 7 x = -6.244997998 + 7 Combine like terms: -6.244997998 + 7 = 0.755002002 x = 0.755002002 Simplifying x = 0.755002002

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.244997998, 0.755002002}

See similar equations:

| -3=-5x+6x-2 | | -25x^2+64= | | 1n=4-3n | | 66=-6/5(x+3) | | -5t-12=60 | | -8=f-30 | | -14+7= | | (-2x^2)-3x+15=0 | | x^4+8x^2+1= | | 31-3x=9 | | 1.7(3h-4)=6(3.4k-2) | | 4a^2-20a+24= | | (-2x^2)+9x+15=0 | | 18a^2+10a=16k+4 | | 5m+6=3m+30 | | -13+4d=31 | | 10x^3-24x^2-20x+78=0 | | 7-5u=-38 | | 25a^2-10a+1= | | 3h+4=5 | | 11+5=12 | | -7+12=-9 | | -7-13=-2 | | 10-16v=4 | | 4+3x=-2 | | -13=-2 | | b(b+5)=0 | | 6x+11=x+6 | | 3u-4=2u+12 | | 6+y=14 | | -5+2x=1 | | (2+4i)(-4-1i)= |

Equations solver categories