2x+5=-x^2+8x

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


Simplifying
2x + 5 = -1x2 + 8x

Reorder the terms:
5 + 2x = -1x2 + 8x

Reorder the terms:
5 + 2x = 8x + -1x2

Solving
5 + 2x = 8x + -1x2

Solving for variable 'x'.

Combine like terms: 2x + -8x = -6x
5 + -6x + x2 = 8x + -1x2 + -8x + x2

Reorder the terms:
5 + -6x + x2 = 8x + -8x + -1x2 + x2

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

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

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

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

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

Solution

x = {1, 5}

See similar equations:

| 5-5v=4-6v | | 8=4b+5 | | 6x+3=39-2x | | 5(4x+10)=90 | | x+3=183 | | 9y-7=-11 | | 7/12-1/3 | | 2=n+4/10 | | 4/5-9/10 | | 4+k=k+2 | | p=2w+2t | | 3+4(x+1)=59 | | (26)30=x | | 2m+7-m=-47 | | -8x-23=-143 | | (x+3+x-5)=0 | | 3(5x-10y)-5(-6y+3x)= | | 1.1/x=3/2 | | 12(2X+3)=84 | | 1.1/x=2/3 | | (40)24=x | | 7x+8=12x-4 | | 7x-25=-4 | | 9v-330=5v-66 | | 5k-3=1 | | 8x^2-16x-15=0 | | n+7-5n=19 | | 9w+9=3w-5 | | x^2-5.5x-3=0 | | 0.7=z/3 | | 3x-7=3y | | [(50)(40)]-[(26)(10)]=x |

Equations solver categories