x^2-21x+26=-7x+2

Simple and best practice solution for x^2-21x+26=-7x+2 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 x^2-21x+26=-7x+2 equation:


Simplifying
x2 + -21x + 26 = -7x + 2

Reorder the terms:
26 + -21x + x2 = -7x + 2

Reorder the terms:
26 + -21x + x2 = 2 + -7x

Solving
26 + -21x + x2 = 2 + -7x

Solving for variable 'x'.

Reorder the terms:
26 + -2 + -21x + 7x + x2 = 2 + -7x + -2 + 7x

Combine like terms: 26 + -2 = 24
24 + -21x + 7x + x2 = 2 + -7x + -2 + 7x

Combine like terms: -21x + 7x = -14x
24 + -14x + x2 = 2 + -7x + -2 + 7x

Reorder the terms:
24 + -14x + x2 = 2 + -2 + -7x + 7x

Combine like terms: 2 + -2 = 0
24 + -14x + x2 = 0 + -7x + 7x
24 + -14x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
24 + -14x + x2 = 0

Factor a trinomial.
(2 + -1x)(12 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {2, 12}

See similar equations:

| v=u-f | | x^2+4x-3=2 | | 6x-7=9+2x | | 3x-6=3x-6 | | -5x-2=-11-6x | | 5x+5=17+6x | | 12x^11-288x^8+2304x^5-6144x^2=0 | | 8x=-3x+(-4)4 | | -7+2x=7x-7 | | 8x=-3x+(-4)2 | | x^2+y^2-8x-13y-60=0 | | x^2-6x+35=0 | | x/3+3=3 | | 237+n=742 | | 2x+2+7x=-61 | | 12/3+(-2/5) | | 31=d+(-14) | | 8=-2x+(-3) | | 5v^2+28v-49=0 | | 5v^2+28-49=0 | | -11=-4x+7x+1 | | 7x-4=3x+12.3 | | 2x+6x=36 | | 4x^4-x+2=0 | | 30-4x=x-3 | | 2-x-7x=-22 | | 3(x-5)=2(x+4)-10 | | x-7=-2x+8 | | 30=3+9n | | 7u+5=40 | | 3y+6+90=180 | | 23=7u+2 |

Equations solver categories