1-3x+(x+2)(x-3)=

Simple and best practice solution for 1-3x+(x+2)(x-3)= 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 1-3x+(x+2)(x-3)= equation: 


Simplifying
1 + -3x + (x + 2)(x + -3) = 0

Reorder the terms:
1 + -3x + (2 + x)(x + -3) = 0

Reorder the terms:
1 + -3x + (2 + x)(-3 + x) = 0

Multiply (2 + x) * (-3 + x)
1 + -3x + (2(-3 + x) + x(-3 + x)) = 0
1 + -3x + ((-3 * 2 + x * 2) + x(-3 + x)) = 0
1 + -3x + ((-6 + 2x) + x(-3 + x)) = 0
1 + -3x + (-6 + 2x + (-3 * x + x * x)) = 0
1 + -3x + (-6 + 2x + (-3x + x2)) = 0

Combine like terms: 2x + -3x = -1x
1 + -3x + (-6 + -1x + x2) = 0

Reorder the terms:
1 + -6 + -3x + -1x + x2 = 0

Combine like terms: 1 + -6 = -5
-5 + -3x + -1x + x2 = 0

Combine like terms: -3x + -1x = -4x
-5 + -4x + x2 = 0

Solving
-5 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(5 + -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 '(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 = {-1, 5}

See similar equations:

| 20z=320 | | x+(0.15x)=310 | | 5x(3x+4)=0 | | -6+2=-7x-1 | | 18x+26=14x+90 | | 7a(x+5y)-b(x+5y)=(x+5y)(7a-b) | | 9y-30=2y+5 | | 11x+6=2x+28 | | 11y=176 | | 11y=76 | | -3x+5(2x-1)=-5 | | 8.05=0.5 | | 2x^2+8x-60=0 | | (x^2)+3ix+9=0 | | 4w-14w+14=-8w | | X*5+13=73 | | 10x+12=7x+33 | | 10x+40=40 | | 16-0.8*x=0 | | 400p=231.50 | | 18x-9=14x-29 | | b+(14)=25 | | s-41=-26 | | 2x*2x+8x-5=0 | | -2sin^2x=-3cosx+3 | | 4(3v-6)=96 | | x+2x+3x=680 | | 5x-6=40x+8 | | 0.1x+14=1.2x-3 | | m^2+6m-23=-7 | | 4n=35 | | -2(5n-3)=86 |

Equations solver categories