x(7-x)+9x=-4

Simple and best practice solution for x(7-x)+9x=-4 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(7-x)+9x=-4 equation:


Simplifying
x(7 + -1x) + 9x = -4
(7 * x + -1x * x) + 9x = -4
(7x + -1x2) + 9x = -4

Reorder the terms:
7x + 9x + -1x2 = -4

Combine like terms: 7x + 9x = 16x
16x + -1x2 = -4

Solving
16x + -1x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 16x + -1x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 16x + -1x2 = 0

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

Divide each side by '-1'.
-4 + -16x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -16x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + -16x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -16x + x2 = 0 + 4
-16x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-16x + x2 = 4

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 4 + 64

Reorder the terms:
64 + -16x + x2 = 4 + 64

Combine like terms: 4 + 64 = 68
64 + -16x + x2 = 68

Factor a perfect square on the left side:
(x + -8)(x + -8) = 68

Calculate the square root of the right side: 8.246211251

Break this problem into two subproblems by setting 
(x + -8) equal to 8.246211251 and -8.246211251.

Subproblem 1

x + -8 = 8.246211251 Simplifying x + -8 = 8.246211251 Reorder the terms: -8 + x = 8.246211251 Solving -8 + x = 8.246211251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 8.246211251 + 8 Combine like terms: -8 + 8 = 0 0 + x = 8.246211251 + 8 x = 8.246211251 + 8 Combine like terms: 8.246211251 + 8 = 16.246211251 x = 16.246211251 Simplifying x = 16.246211251

Subproblem 2

x + -8 = -8.246211251 Simplifying x + -8 = -8.246211251 Reorder the terms: -8 + x = -8.246211251 Solving -8 + x = -8.246211251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = -8.246211251 + 8 Combine like terms: -8 + 8 = 0 0 + x = -8.246211251 + 8 x = -8.246211251 + 8 Combine like terms: -8.246211251 + 8 = -0.246211251 x = -0.246211251 Simplifying x = -0.246211251

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.246211251, -0.246211251}

See similar equations:

| -8X+5X=21 | | 8x+13y=-68 | | (b+4)2b^2+8b+0=0 | | M=J+Jrt | | 2b^2+8b+0=0 | | 3w^2+13w+21=0 | | 2w^2+11w+19+w^2+2w+2=0 | | -(x+2)+3x=-12 | | g(x)=x^3+5x^2-4x-2 | | (-9+3n^6+3n^5)+(2n^6+5n^5+6)=x | | 3d^3-6d^2=24d | | 12-2.4n=2.4 | | 5.2+0.5q=6 | | 4x^2-8=16 | | 8x+20=3x+56 | | 8x+20=-3x+56 | | 48+36=x | | 8-5(3x-2)=15x+18 | | 46+6h=160 | | 21x+2+14x+3=180 | | 40x+600=20y | | 11x+60+x=180 | | -9(5+6k)= | | 0,5*x*x-1,5*x=0 | | 17x-18+x=90 | | 5(-4b-8)= | | x+17x+36=90 | | 2x+4y=-24 | | 49x^2+8=12 | | 2(6+5)=3(4-b) | | 2f+4s=5.90 | | 5m-3+7=9 |

Equations solver categories