45-x^2=4x

Simple and best practice solution for 45-x^2=4x 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 45-x^2=4x equation:


Simplifying
45 + -1x2 = 4x

Solving
45 + -1x2 = 4x

Solving for variable 'x'.

Reorder the terms:
45 + -4x + -1x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
45 + -4x + -1x2 = 0

Factor a trinomial.
(5 + -1x)(9 + x) = 0

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {5, -9}

See similar equations:

| -200x-1736=2736 | | (25/36)3/2 | | Loge(6x)=7 | | 4x+28/3x+21 | | Ln(6x)=7 | | 12.5x+(-7.2x)=-21.6 | | -6/7y=-24 | | 201.6/9 | | 8m-6=0m | | -24/7/(-9) | | 7x+3+-6y+-4x+-5+5y=0 | | 2x+3y-z=-1 | | 9a+5=32a | | Ax^2+49=0 | | 4-4(-2+6+3*2)/16 | | 5/7=n/8 | | 3/7+x/3=x/7 | | 8/12=n/5 | | 12x=28x | | x^4-2x^2=-1 | | 0.10(y-7)+0.12y=0.20y-0.09(10) | | 1/2*(-2/1)-3 | | 2x+x+(x-3)=18,6 | | 4y(3y+1)(7y+5)=0 | | -10=3y+8 | | u/13 | | -2x-1=3x+5 | | 25x=-225 | | 7/3=u/13 | | 2z+6=3z | | 8(y+6)=7y-2 | | x^2-4.75x+3=0 |

Equations solver categories