0=-x^2+x+30

Simple and best practice solution for 0=-x^2+x+30 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 0=-x^2+x+30 equation:


Simplifying
0 = -1x2 + x + 30

Reorder the terms:
0 = 30 + x + -1x2

Solving
0 = 30 + x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -1x + x2 = 30 + x + -1x2 + -30 + -1x + x2

Reorder the terms:
-30 + -1x + x2 = 30 + -30 + x + -1x + -1x2 + x2

Combine like terms: 30 + -30 = 0
-30 + -1x + x2 = 0 + x + -1x + -1x2 + x2
-30 + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-30 + -1x + x2 = 0 + -1x2 + x2
-30 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-30 + -1x + x2 = 0

Factor a trinomial.
(-5 + -1x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-5, 6}

See similar equations:

| 2d^2-5d=25 | | .75x-2+.4=90 | | 74+15w=129 | | -7(6x+1)-6=-7-6(2+8x) | | 6x+5=3(2x-4) | | 2y+3(y-4)=2(y-3) | | f/4=4 | | t/8=2 | | 14=(0)t+(0.5)(9.8)t^2 | | -3x+5y=-33 | | 20+4H=32 | | 3x-1+10x^2= | | -n+7(n-4)=-2(5n-2) | | x^3+7x^2+2x=0 | | -x^2+x+56=0 | | 40+14j=2(-4j+-13) | | -6h+2h-11=-2(2h-3)+4 | | x=.5(3+7)4 | | p/5=6 | | -6x+3y=-30 | | -37+2m=-7(-m+1) | | -x^2+21+x=0 | | -5+2x=-1 | | 2n-6=-24 | | 28x^2-37x-21= | | 3(4c+1)-17=2(3c+2)-3c | | 5=7x-2 | | (7.29)(0.6+0.7)= | | 3(2x+1)=5 | | 7x-5y=-19 | | -3x+6=-27 | | y=0.3-2 |

Equations solver categories