10x^2-19x-14=0

Simple and best practice solution for 10x^2-19x-14=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 10x^2-19x-14=0 equation:


Simplifying
10x2 + -19x + -14 = 0

Reorder the terms:
-14 + -19x + 10x2 = 0

Solving
-14 + -19x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
-1.4 + -1.9x + x2 = 0

Move the constant term to the right:

Add '1.4' to each side of the equation.
-1.4 + -1.9x + 1.4 + x2 = 0 + 1.4

Reorder the terms:
-1.4 + 1.4 + -1.9x + x2 = 0 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -1.9x + x2 = 0 + 1.4
-1.9x + x2 = 0 + 1.4

Combine like terms: 0 + 1.4 = 1.4
-1.9x + x2 = 1.4

The x term is -1.9x.  Take half its coefficient (-0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
-1.9x + 0.9025 + x2 = 1.4 + 0.9025

Reorder the terms:
0.9025 + -1.9x + x2 = 1.4 + 0.9025

Combine like terms: 1.4 + 0.9025 = 2.3025
0.9025 + -1.9x + x2 = 2.3025

Factor a perfect square on the left side:
(x + -0.95)(x + -0.95) = 2.3025

Calculate the square root of the right side: 1.517399091

Break this problem into two subproblems by setting 
(x + -0.95) equal to 1.517399091 and -1.517399091.

Subproblem 1

x + -0.95 = 1.517399091 Simplifying x + -0.95 = 1.517399091 Reorder the terms: -0.95 + x = 1.517399091 Solving -0.95 + x = 1.517399091 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.95' to each side of the equation. -0.95 + 0.95 + x = 1.517399091 + 0.95 Combine like terms: -0.95 + 0.95 = 0.00 0.00 + x = 1.517399091 + 0.95 x = 1.517399091 + 0.95 Combine like terms: 1.517399091 + 0.95 = 2.467399091 x = 2.467399091 Simplifying x = 2.467399091

Subproblem 2

x + -0.95 = -1.517399091 Simplifying x + -0.95 = -1.517399091 Reorder the terms: -0.95 + x = -1.517399091 Solving -0.95 + x = -1.517399091 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.95' to each side of the equation. -0.95 + 0.95 + x = -1.517399091 + 0.95 Combine like terms: -0.95 + 0.95 = 0.00 0.00 + x = -1.517399091 + 0.95 x = -1.517399091 + 0.95 Combine like terms: -1.517399091 + 0.95 = -0.567399091 x = -0.567399091 Simplifying x = -0.567399091

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.467399091, -0.567399091}

See similar equations:

| 6b+6=24 | | x^2+5xy-36y^2= | | 3-9-36-6=9x-24x | | X^2-x-6=x+2 | | x^2-9xy-36y^2= | | x^2-5xy-50y^2= | | 170=36x+8x^2 | | 182=65+n | | (2z+8)*(3z-6)=0 | | x^2-17x-18= | | -w+6=4w-9 | | t^2-t-72= | | t^2-8t-20= | | t^2+4t-12= | | t^2-10t-11= | | t^2-2t-8= | | x-4+6x/5=6x | | t^2+5t-6= | | t^2+4t-21= | | t^2+3t-10= | | 6-6x(9-9)= | | 3y+5=y-7 | | (3y-4)=0 | | 33=2y+5 | | 3(b-8)= | | (2Z-8)(3z+6)=0 | | 8-3x+2= | | 4x-20=2x+12 | | 5x-(2x+2)= | | 7x-8=6x+9 | | 8x+(-2X)=6x | | 3x-4(x+2)= |

Equations solver categories