0=x^2+5x-414

Simple and best practice solution for 0=x^2+5x-414 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+5x-414 equation:


Simplifying
0 = x2 + 5x + -414

Reorder the terms:
0 = -414 + 5x + x2

Solving
0 = -414 + 5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 414 = 414
414 + -5x + -1x2 = -414 + 5x + x2 + 414 + -5x + -1x2

Reorder the terms:
414 + -5x + -1x2 = -414 + 414 + 5x + -5x + x2 + -1x2

Combine like terms: -414 + 414 = 0
414 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
414 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
414 + -5x + -1x2 = 0 + x2 + -1x2
414 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
414 + -5x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(23 + x) = 0

Subproblem 1

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Subproblem 2

Set the factor '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23

Solution

x = {18, -23}

See similar equations:

| -5x-4(4x+18)=180 | | 15*1+1150=y | | 32x+4+20+4+6x=180 | | 4x-(8x+13)=2-(9x-8) | | 3x^3+8x-16=0 | | (w+-7)+-9= | | 3y=2y-8 | | 6x-8-4=6 | | 75/5y=-3 | | 4b-8b+6=-3b+18-7b | | 3.1x-7.7=10.9 | | 33=(x-2) | | 6.5x-2.9=29.6 | | 2(-2z+3)=3(5z+2) | | 3+17t-1=9t+17-7t | | 4x+2x=160 | | 7x+2y+11w-6y-5w+7x= | | 15-3x=-36 | | (u+-9)+-3= | | -7(-10+5j)= | | 2x+52=36 | | 32/z=2 | | 206=92-y | | 125+4x+3+3x+3=180 | | 6-8x-3=11 | | 5(-4+3u)= | | -2+2(3x+23)=-2 | | -5x-14=6 | | 161-y=238 | | 2a+2=a+26 | | 2x+3y=2y+10 | | 18=12x-30/-11 |

Equations solver categories