x^2-14x+23=-4x-1

Simple and best practice solution for x^2-14x+23=-4x-1 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^2-14x+23=-4x-1 equation: 


Simplifying
x2 + -14x + 23 = -4x + -1

Reorder the terms:
23 + -14x + x2 = -4x + -1

Reorder the terms:
23 + -14x + x2 = -1 + -4x

Solving
23 + -14x + x2 = -1 + -4x

Solving for variable 'x'.

Reorder the terms:
23 + 1 + -14x + 4x + x2 = -1 + -4x + 1 + 4x

Combine like terms: 23 + 1 = 24
24 + -14x + 4x + x2 = -1 + -4x + 1 + 4x

Combine like terms: -14x + 4x = -10x
24 + -10x + x2 = -1 + -4x + 1 + 4x

Reorder the terms:
24 + -10x + x2 = -1 + 1 + -4x + 4x

Combine like terms: -1 + 1 = 0
24 + -10x + x2 = 0 + -4x + 4x
24 + -10x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
24 + -10x + x2 = 0

Factor a trinomial.
(4 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {4, 6}

See similar equations:

| 11n-21=100 | | 1-6x=61 | | x+3=4+2x | | 11x-6x=7x-8 | | 2cos^2x-4cosx-1=0 | | 1/2n+3=18 | | 1/4x-1/5(x-5)=5x | | 2x-14=3(56-4x) | | 2y-14=3(56-4x) | | .84x-12=3 | | 0=x^4+2x^2+1 | | 2x+8=8x-24 | | x-.4x=2.8 | | 5(6x)= | | x=1x-.3 | | y=(2x+5)(x-3) | | log(34-3x)=1 | | a+5+3=14 | | 3.8*-4= | | 34/51=n/12 | | 5(6-y)-12=y | | 4a^2-2a-2=0 | | 5(-2+2m)+3=5+6m-27 | | 3.8(-5)+4.6=-22 | | -2(x+3)+4=3(x+4)+4 | | -7x-8y=28 | | 8x+5y=88 | | 3(x+2)-11=5(x-4) | | 7y^2-43=-35y | | 9u+11=4u-4 | | 3.8(-5)+4.6= | | 5-(-2+2m)+3=5+6m-27 |

Equations solver categories