(x+4)*(x-2)=-5

Simple and best practice solution for (x+4)*(x-2)=-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+4)*(x-2)=-5 equation: 


Simplifying
(x + 4)(x + -2) = -5

Reorder the terms:
(4 + x)(x + -2) = -5

Reorder the terms:
(4 + x)(-2 + x) = -5

Multiply (4 + x) * (-2 + x)
(4(-2 + x) + x(-2 + x)) = -5
((-2 * 4 + x * 4) + x(-2 + x)) = -5
((-8 + 4x) + x(-2 + x)) = -5
(-8 + 4x + (-2 * x + x * x)) = -5
(-8 + 4x + (-2x + x2)) = -5

Combine like terms: 4x + -2x = 2x
(-8 + 2x + x2) = -5

Solving
-8 + 2x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
-8 + 5 + 2x + x2 = -5 + 5

Combine like terms: -8 + 5 = -3
-3 + 2x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-3 + 2x + x2 = 0

Factor a trinomial.
(-3 + -1x)(1 + -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 '(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
Solution
x = {-3, 1}

See similar equations:

| 6x^2=459-27x | | 6(x-2)-5=-5(-4x+7)-6x | | -19x+23y=-11 | | 27n-36= | | 15a+6=6a-38 | | -3(1-2x)=8x+5 | | n*(n-1)=56 | | n*(n-1)=28 | | x^2-2x=56 | | -3x+8y-21=0 | | 12x+x^2=66 | | 2(x-5)+3=5x+14 | | 9d=-8+8d | | -2f=-f+9 | | 10x+8=24 | | 5m-12=4-2m | | 6x+25=15 | | 3/6=n/30 | | 2s^3+12x^2+32x+25= | | 8/n=16/18 | | 3/5x7/8 | | N/12=5/30 | | 7y-2.75=.5 | | 5/10=20/n | | 6x+2=4x+-7 | | 7/9=n/27 | | 4/6=n/30 | | x^3-5x^2+2x-12=0 | | N/8=5/40 | | (n-2)*3=18 | | a/4-8=-1 | | (e^2+4x)+9=0 |

Equations solver categories