5x^2-4x-8+6x^2-9x+7=

Simple and best practice solution for 5x^2-4x-8+6x^2-9x+7= 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 5x^2-4x-8+6x^2-9x+7= equation:


Simplifying
5x2 + -4x + -8 + 6x2 + -9x + 7 = 0

Reorder the terms:
-8 + 7 + -4x + -9x + 5x2 + 6x2 = 0

Combine like terms: -8 + 7 = -1
-1 + -4x + -9x + 5x2 + 6x2 = 0

Combine like terms: -4x + -9x = -13x
-1 + -13x + 5x2 + 6x2 = 0

Combine like terms: 5x2 + 6x2 = 11x2
-1 + -13x + 11x2 = 0

Solving
-1 + -13x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
-0.09090909091 + -1.181818182x + x2 = 0

Move the constant term to the right:

Add '0.09090909091' to each side of the equation.
-0.09090909091 + -1.181818182x + 0.09090909091 + x2 = 0 + 0.09090909091

Reorder the terms:
-0.09090909091 + 0.09090909091 + -1.181818182x + x2 = 0 + 0.09090909091

Combine like terms: -0.09090909091 + 0.09090909091 = 0.00000000000
0.00000000000 + -1.181818182x + x2 = 0 + 0.09090909091
-1.181818182x + x2 = 0 + 0.09090909091

Combine like terms: 0 + 0.09090909091 = 0.09090909091
-1.181818182x + x2 = 0.09090909091

The x term is -1.181818182x.  Take half its coefficient (-0.590909091).
Square it (0.3491735538) and add it to both sides.

Add '0.3491735538' to each side of the equation.
-1.181818182x + 0.3491735538 + x2 = 0.09090909091 + 0.3491735538

Reorder the terms:
0.3491735538 + -1.181818182x + x2 = 0.09090909091 + 0.3491735538

Combine like terms: 0.09090909091 + 0.3491735538 = 0.44008264471
0.3491735538 + -1.181818182x + x2 = 0.44008264471

Factor a perfect square on the left side:
(x + -0.590909091)(x + -0.590909091) = 0.44008264471

Calculate the square root of the right side: 0.663387251

Break this problem into two subproblems by setting 
(x + -0.590909091) equal to 0.663387251 and -0.663387251.

Subproblem 1

x + -0.590909091 = 0.663387251 Simplifying x + -0.590909091 = 0.663387251 Reorder the terms: -0.590909091 + x = 0.663387251 Solving -0.590909091 + x = 0.663387251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.590909091' to each side of the equation. -0.590909091 + 0.590909091 + x = 0.663387251 + 0.590909091 Combine like terms: -0.590909091 + 0.590909091 = 0.000000000 0.000000000 + x = 0.663387251 + 0.590909091 x = 0.663387251 + 0.590909091 Combine like terms: 0.663387251 + 0.590909091 = 1.254296342 x = 1.254296342 Simplifying x = 1.254296342

Subproblem 2

x + -0.590909091 = -0.663387251 Simplifying x + -0.590909091 = -0.663387251 Reorder the terms: -0.590909091 + x = -0.663387251 Solving -0.590909091 + x = -0.663387251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.590909091' to each side of the equation. -0.590909091 + 0.590909091 + x = -0.663387251 + 0.590909091 Combine like terms: -0.590909091 + 0.590909091 = 0.000000000 0.000000000 + x = -0.663387251 + 0.590909091 x = -0.663387251 + 0.590909091 Combine like terms: -0.663387251 + 0.590909091 = -0.07247816 x = -0.07247816 Simplifying x = -0.07247816

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.254296342, -0.07247816}

See similar equations:

| 16+3(3n-11)=1 | | (5x^2+4x-7)+(-5x^2-4x+7)= | | 3z^2-9z+5=0 | | 5(x-1)=22.5 | | 4(1+x)-9x=7-5(x+3) | | 9n^2-6n-11=0 | | -x^2+12t=32 | | ln(2x-5)=2.8 | | 3(w+5)-5w=27 | | 6m^2-11m-7=0 | | 25000000=7x | | .50x+3=.25x+1.25 | | (4+3)+x=(3+4)+x | | logb^144=3 | | n-15=49 | | -5x^2+11x+124=0 | | 5x+x^2-122=0 | | .09(x+15)=2.5-(x+3) | | 10x-14+4=-8 | | -45=-3(4x+3) | | (2x^2+3x+7)+(8x^2+3x-4)= | | (x+1)2+(y-3)2=36 | | 2k-2.6=12 | | x^2y-xy-3y=0 | | 25a+25= | | Y=-3x-18 | | -14*y=5 | | G-0.26G-0.09G=876.72 | | 2y+3x-y=0 | | -14y=5 | | 4n=.24 | | y+14=5 |

Equations solver categories