x^2-2x+8=-12+7x

Simple and best practice solution for x^2-2x+8=-12+7x 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^2-2x+8=-12+7x equation:


Simplifying
x2 + -2x + 8 = -12 + 7x

Reorder the terms:
8 + -2x + x2 = -12 + 7x

Solving
8 + -2x + x2 = -12 + 7x

Solving for variable 'x'.

Reorder the terms:
8 + 12 + -2x + -7x + x2 = -12 + 7x + 12 + -7x

Combine like terms: 8 + 12 = 20
20 + -2x + -7x + x2 = -12 + 7x + 12 + -7x

Combine like terms: -2x + -7x = -9x
20 + -9x + x2 = -12 + 7x + 12 + -7x

Reorder the terms:
20 + -9x + x2 = -12 + 12 + 7x + -7x

Combine like terms: -12 + 12 = 0
20 + -9x + x2 = 0 + 7x + -7x
20 + -9x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -9x + x2 = 0

Factor a trinomial.
(4 + -1x)(5 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {4, 5}

See similar equations:

| 9h=-39 | | 3x+5=90 | | 15=4*3.14*r | | 24x^2-4x-8= | | 4(6x+18)=120 | | 24x^2+4x-8= | | 10x+1=x-8+6x | | 6(x-7)-12=20x-222 | | 3.3d-7.2=0.8d+7.3 | | (12)-24=x | | 6(x-4)=6(x-1) | | 15=4(3.14)r | | 12*-24= | | 5n-5=-6n-16 | | a/15+4/15=9/5 | | 5(x-4)+4x=9x-20 | | 6x-2.6666666=6x | | -6(x+8)+365=11+18 | | a(x+c)=2ad+c | | 4x^2-6x+3= | | -3(x+9)+97=32+11 | | y=280-4x | | 3(5x+3)+58=8x+4 | | y=0.5x-8 | | -44+12x=12+10x | | 6(x-5)=36 | | -9=4n-n | | 2-5w=-38 | | 3h+c=300 | | 5w-70=9w | | 6-7r=-50 | | 3a+8-5a=-7(a+1) |

Equations solver categories