x^2-10x+10=-4x+2

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


Simplifying
x2 + -10x + 10 = -4x + 2

Reorder the terms:
10 + -10x + x2 = -4x + 2

Reorder the terms:
10 + -10x + x2 = 2 + -4x

Solving
10 + -10x + x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
10 + -2 + -10x + 4x + x2 = 2 + -4x + -2 + 4x

Combine like terms: 10 + -2 = 8
8 + -10x + 4x + x2 = 2 + -4x + -2 + 4x

Combine like terms: -10x + 4x = -6x
8 + -6x + x2 = 2 + -4x + -2 + 4x

Reorder the terms:
8 + -6x + x2 = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
8 + -6x + x2 = 0 + -4x + 4x
8 + -6x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
8 + -6x + x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -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 '(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
Solution
x = {2, 4}

See similar equations:

| X^2+22X-360=0 | | 1/2-2/3x-6=-x/2-2 | | 30(5x+x)=3450 | | 4(3+4x)-1=43 | | x^2+x-2=10 | | y=720+104x-8x^2 | | 3/8x5 | | 10x+7=4x+5 | | 15x+10x=200 | | -6x-11x=85 | | 4(x-9)=4(9+.33333333x) | | 4x-7x=44 | | 4.2x-2.16=1.69-5.4x | | 2x-42=-7x+12 | | Y=5•1/5-1 | | 3x+17=6x-25 | | .078=(.07-x)+1.2x | | 4(x-2)=y(3-5x) | | (-8x^8)(-9x^6)= | | 2xsquare-10x-252=0 | | 8xa=72 | | 50x+250= | | 25+5x=52+2x | | -8x+6=5(6-x) | | -16x^2-36=-48x | | 5/9(•f-32)=•c | | X-15/2=-2 | | 2(5+3h)= | | x^3+2x^2+2x+2=302 | | 2*5-4+10= | | x^3+2x^2+3x+2=302 | | 4/7w=38 |

Equations solver categories