5x+26=x^2+2x+8

Simple and best practice solution for 5x+26=x^2+2x+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 5x+26=x^2+2x+8 equation: 


Simplifying
5x + 26 = x2 + 2x + 8

Reorder the terms:
26 + 5x = x2 + 2x + 8

Reorder the terms:
26 + 5x = 8 + 2x + x2

Solving
26 + 5x = 8 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
26 + -8 + 5x + -2x + -1x2 = 8 + 2x + x2 + -8 + -2x + -1x2

Combine like terms: 26 + -8 = 18
18 + 5x + -2x + -1x2 = 8 + 2x + x2 + -8 + -2x + -1x2

Combine like terms: 5x + -2x = 3x
18 + 3x + -1x2 = 8 + 2x + x2 + -8 + -2x + -1x2

Reorder the terms:
18 + 3x + -1x2 = 8 + -8 + 2x + -2x + x2 + -1x2

Combine like terms: 8 + -8 = 0
18 + 3x + -1x2 = 0 + 2x + -2x + x2 + -1x2
18 + 3x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
18 + 3x + -1x2 = 0 + x2 + -1x2
18 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 3x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(3 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {6, -3}

See similar equations:

| 8x^5+16x^4-20x^3+12=0 | | 3p-4=-3p+14 | | 2p+2=-p+8 | | b+1=5b+5 | | -9.18=-10.9p+3.9 | | -7x-3(9-7x)ifx=-1 | | -10.9+3.9=-9.18 | | 2b-5=4b+3 | | 5b-4=2b-10 | | 9999999999x-532=-13x+3 | | 4b+5=3b+8 | | 2(3+4x)-(2x+3)+12=40 | | 8g-3=12+3g | | 7(-20r-12)-16r=-3(5r-19) | | 7(-20rb-12)-16r=-3(5r-19) | | 1/2|z-3|-5=-2 | | 6g+11=4g+15 | | -20+2(11q-17)=20q-2q+18 | | -18h=-4h+7(-h-13) | | 3*tan*x=0 | | 4(-6t+13)+6t=3t-20-12t | | -7(-8c-6)=-13+c | | 6u-5(4u-20)=3u-18-18 | | -8(3y+13)=-19y-14 | | -5(-6k-12)-1=-18-19+14k | | -15p=5(-2p+19) | | -17.9g-19.76-8.2g=-19.2g+18.88 | | -12.1m+4.04=-10.7m+20 | | -17.04+0.8d=15.8+12.76+3.2d | | 4+(5x-1)=18 | | 3.7b=-18.84+2.5b | | -6.25+1.1j=-12.75+0.1j |

Equations solver categories