(x-3)(x+5)=-12

Simple and best practice solution for (x-3)(x+5)=-12 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-3)(x+5)=-12 equation: 


Simplifying
(x + -3)(x + 5) = -12

Reorder the terms:
(-3 + x)(x + 5) = -12

Reorder the terms:
(-3 + x)(5 + x) = -12

Multiply (-3 + x) * (5 + x)
(-3(5 + x) + x(5 + x)) = -12
((5 * -3 + x * -3) + x(5 + x)) = -12
((-15 + -3x) + x(5 + x)) = -12
(-15 + -3x + (5 * x + x * x)) = -12
(-15 + -3x + (5x + x2)) = -12

Combine like terms: -3x + 5x = 2x
(-15 + 2x + x2) = -12

Solving
-15 + 2x + x2 = -12

Solving for variable 'x'.

Reorder the terms:
-15 + 12 + 2x + x2 = -12 + 12

Combine like terms: -15 + 12 = -3
-3 + 2x + x2 = -12 + 12

Combine like terms: -12 + 12 = 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:

| 5x+32=9-x | | 20x+18=100 | | 4t-3(t-2)=t+6 | | 3x+71=6x+2 | | .3x-.2=1 | | 3+0.666666666667m=0.666666666667m-0.666666666667 | | a*5+9b=-b+2 | | 5a^2+17a+6=0 | | x-9=-14 | | 1+15n=0 | | 7x-8=9x+3 | | -34=D+42-5v | | -2+.40(5x-20)=-52 | | 3(3n-1)=3(n+11) | | 0.4(2x-4)=-17 | | 4=(3)(-3)+b | | 3w+8=5w-20 | | -3(3y-2)=42 | | 23x-25=21 | | 81x^2-90x+25=0 | | 5n-5/3=n+1 | | 6x+7=52 | | 880=-2+14(-5n+13) | | -6=-18 | | 10x^2y^3(10xy^8)= | | 8-(3+b)=b-19 | | -34=u | | 24=2x+10 | | 114000=1.5x^2 | | 2(3-2(x+5))=30 | | 2x+x=x+3 | | 49+2x-6x=3x |

Equations solver categories