x^2-10x=27-4x

Simple and best practice solution for x^2-10x=27-4x 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^2-10x=27-4x equation: 


Simplifying
x2 + -10x = 27 + -4x

Reorder the terms:
-10x + x2 = 27 + -4x

Solving
-10x + x2 = 27 + -4x

Solving for variable 'x'.

Reorder the terms:
-27 + -10x + 4x + x2 = 27 + -4x + -27 + 4x

Combine like terms: -10x + 4x = -6x
-27 + -6x + x2 = 27 + -4x + -27 + 4x

Reorder the terms:
-27 + -6x + x2 = 27 + -27 + -4x + 4x

Combine like terms: 27 + -27 = 0
-27 + -6x + x2 = 0 + -4x + 4x
-27 + -6x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-27 + -6x + x2 = 0

Factor a trinomial.
(-3 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 9}

See similar equations:

| 8x-29=35 | | 6x+5x+3+7=3x+4+7x | | x^2+31=3x | | -4(4b+2)+(17b-4)=0 | | 4x^2-32=8x | | log(5)25=2 | | (4-4*4)0.8= | | 5/6x=4 | | 7+4(s-2t)= | | 5u-7-7u+4= | | -4xy+x-xy-6x= | | 20000/3/2= | | 4(x-3)=2x-4 | | 8x^2+120x+288=0 | | -8(3b+4)+(25b-6)=0 | | 8a-3a-9a= | | x/6-9=x/6 | | c-2-8=3 | | 3(8m+35)= | | X^2-13-3x=0 | | (17b-1)-4(4b+3)=-7 | | c-8=3(-3) | | 40=10n | | -16(5x-6y+7z)= | | 9x+4x+3+7=7x+3+5x | | 2-[1.5x-3]=.5(x+2) | | 10x^2+41x-18=0 | | x^2+5=2x+20 | | y=3/4x+1 | | 2(7x+28)=8(2x-4) | | 7(14y+18)= | | -16+x=x+17 |

Equations solver categories