9x(x-1)=-5x^2+8

Simple and best practice solution for 9x(x-1)=-5x^2+8 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 9x(x-1)=-5x^2+8 equation: 


Simplifying
9x(x + -1) = -5x2 + 8

Reorder the terms:
9x(-1 + x) = -5x2 + 8
(-1 * 9x + x * 9x) = -5x2 + 8
(-9x + 9x2) = -5x2 + 8

Reorder the terms:
-9x + 9x2 = 8 + -5x2

Solving
-9x + 9x2 = 8 + -5x2

Solving for variable 'x'.

Reorder the terms:
-8 + -9x + 9x2 + 5x2 = 8 + -5x2 + -8 + 5x2

Combine like terms: 9x2 + 5x2 = 14x2
-8 + -9x + 14x2 = 8 + -5x2 + -8 + 5x2

Reorder the terms:
-8 + -9x + 14x2 = 8 + -8 + -5x2 + 5x2

Combine like terms: 8 + -8 = 0
-8 + -9x + 14x2 = 0 + -5x2 + 5x2
-8 + -9x + 14x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-8 + -9x + 14x2 = 0

Factor a trinomial.
(-1 + -2x)(8 + -7x) = 0


Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-0.5, 1.142857143}

See similar equations:

| -3(n+2)-5=-23 | | 7(3a+3b)+6(2a+4b)= | | 5+6a=79 | | (19a+5)-(2a+12)=-3 | | 379= | | 2(14a+15b)=6 | | 32-5(6v-1)=-63 | | -4(-4b*4)-3b=-120 | | x^2+39x-40= | | 16+12t+2t^2= | | 4x+24=9(x+1) | | -4(-7p-2)=120 | | -5(5-5p)=-225 | | 3x+35=5(x+1) | | 3w-7-8w=2-5w-9 | | e(x+4)=7 | | 101=-7(p-8)-4 | | x^5+3=14 | | 31-(2x+8)=2(x+4)+x | | 19(3x-2)=461 | | -3c-(-3d-5)+(7c+8)= | | 12+(-4)=8 | | 4x+1-4(x+1)=7x-3 | | 2x^2+7x+3=-2 | | 0=-8x^2+10000x | | 5(v+6)=-4(4v-6)+5v | | 7-c=-16 | | f(x)=-8x^2+10000x | | 0=7p+p | | 4(11x+10x)=-4 | | 2x^2-53x=0 | | 3y-10y=5 |

Equations solver categories