x^2-3x+12=5x+5

Simple and best practice solution for x^2-3x+12=5x+5 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^2-3x+12=5x+5 equation:


Simplifying
x2 + -3x + 12 = 5x + 5

Reorder the terms:
12 + -3x + x2 = 5x + 5

Reorder the terms:
12 + -3x + x2 = 5 + 5x

Solving
12 + -3x + x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
12 + -5 + -3x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: 12 + -5 = 7
7 + -3x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: -3x + -5x = -8x
7 + -8x + x2 = 5 + 5x + -5 + -5x

Reorder the terms:
7 + -8x + x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
7 + -8x + x2 = 0 + 5x + -5x
7 + -8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -8x + x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1, 7}

See similar equations:

| q+5=2q-7 | | x/13+3=4 | | 2w+1=3w-4 | | y=x^2+2x-36 | | -2.33333333333x=14 | | -10+3f=4 | | 10x+4=11x-2 | | (4z-9)(3+z)=0 | | 49-4(1/x^2) | | 3x-w=vx+y | | (y-5)(y-8)=0 | | 33.3[.25x]=20 | | 3f+4=2f-3 | | -20=-2x+4 | | x^2-2.5x+6.25=0 | | 8z^2-14z+3=0 | | x^2-2.5x+6.25=12.25 | | 12+3p-3/5=14p-2 | | (y^2)+5y+4=0 | | 60=(3+x)(10+x) | | -21/3x=14 | | 6x=132 | | 39+(x/100)*39=120.3 | | (1/(x^2))=-49 | | -48-5u=11u+64 | | 3-(2x-4)=-1 | | 3x^2=o | | (7x+8)(x-5)= | | 3t+7=28 | | 120-6x=12x+18 | | (7x+8)(x-5)=x | | (1/(x^2))=49 |

Equations solver categories