3x^2+8x+2=2x+26

Simple and best practice solution for 3x^2+8x+2=2x+26 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 3x^2+8x+2=2x+26 equation: 


Simplifying
3x2 + 8x + 2 = 2x + 26

Reorder the terms:
2 + 8x + 3x2 = 2x + 26

Reorder the terms:
2 + 8x + 3x2 = 26 + 2x

Solving
2 + 8x + 3x2 = 26 + 2x

Solving for variable 'x'.

Reorder the terms:
2 + -26 + 8x + -2x + 3x2 = 26 + 2x + -26 + -2x

Combine like terms: 2 + -26 = -24
-24 + 8x + -2x + 3x2 = 26 + 2x + -26 + -2x

Combine like terms: 8x + -2x = 6x
-24 + 6x + 3x2 = 26 + 2x + -26 + -2x

Reorder the terms:
-24 + 6x + 3x2 = 26 + -26 + 2x + -2x

Combine like terms: 26 + -26 = 0
-24 + 6x + 3x2 = 0 + 2x + -2x
-24 + 6x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4, 2}

See similar equations:

| 8/14 | | x^2+3x=(3x-15) | | x^2+3x=3x-15 | | 5x^2+7x+8= | | 2r-5p=32 | | 0=x^2-4x-24 | | 5t+(-7)=3 | | 12(n+6)-11(n+6)=7n | | 4(14-6)= | | 2(2x+3y)+3(x+y)= | | 18.5-2.25x=47.75 | | 2x^2+2=-4x+18 | | 4(x+2)-2(x-6)=2x+20 | | 2x+6-7x-10=16 | | 6x+7=21-6x | | 3y+2(5y-4)=13y+7 | | X3/x-2 | | 4(y+5)-y=y+12 | | 2x-3=9x-2 | | 2x-3=5x-2 | | X^3/x-2 | | -2=3(x) | | 7.x=-35 | | 2f-5=-5 | | 8y+40=-6(y+5) | | 5.6-0.3x=1.12 | | 58=t-22 | | 80x+500=100 | | 3x^2-3x=2x^2-5x+3 | | 3(y+2)=-8y+39 | | -16-4.5x=10 | | -7u-25=9(u-1) |

Equations solver categories