x^2-16x+13=-6x+4

Simple and best practice solution for x^2-16x+13=-6x+4 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^2-16x+13=-6x+4 equation: 


Simplifying
x2 + -16x + 13 = -6x + 4

Reorder the terms:
13 + -16x + x2 = -6x + 4

Reorder the terms:
13 + -16x + x2 = 4 + -6x

Solving
13 + -16x + x2 = 4 + -6x

Solving for variable 'x'.

Reorder the terms:
13 + -4 + -16x + 6x + x2 = 4 + -6x + -4 + 6x

Combine like terms: 13 + -4 = 9
9 + -16x + 6x + x2 = 4 + -6x + -4 + 6x

Combine like terms: -16x + 6x = -10x
9 + -10x + x2 = 4 + -6x + -4 + 6x

Reorder the terms:
9 + -10x + x2 = 4 + -4 + -6x + 6x

Combine like terms: 4 + -4 = 0
9 + -10x + x2 = 0 + -6x + 6x
9 + -10x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
9 + -10x + x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {1, 9}

See similar equations:

| 3(6y-9)=9y | | 2x+14=6x-48 | | -92(x+59)=-29x+116 | | 3w^2+19+6=0 | | 12+3m=90 | | x^2-9x+26=6 | | P(2r+7)= | | 23-3x=3+x | | x+(-1)=1 | | x-8=-3x+16 | | 12x=15y | | x^2+16x=17 | | x+(x*14)=180 | | 24x^2-28x+8=0 | | 4300+112+157+1.8(x)=5200 | | x+(x+14)=180 | | 4300+112+157+1.8(x)=4812 | | 10-7x+x=-62 | | -5z-8=2 | | 4x^2-29x+31=-5x+4 | | s(x)=-5x^2-40x-78 | | 3x+5y=95 | | 2s^3-12s^2=32s | | 8-6x-2=46+3x-11 | | (x*z*2)+(x*y)=(y*z*x) | | 6x+2-4x=-6 | | 5x-20=2x+11 | | 33=4u-15 | | 24x^2-30x-18=0 | | -2d+8=-2 | | (x*y)+11=(3*y)+x | | 24x^2-30x-18= |

Equations solver categories