(x-3)(x+4)=0

Simple and best practice solution for (x-3)(x+4)=0 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+4)=0 equation:


Simplifying
(x + -3)(x + 4) = 0

Reorder the terms:
(-3 + x)(x + 4) = 0

Reorder the terms:
(-3 + x)(4 + x) = 0

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = 0
((4 * -3 + x * -3) + x(4 + x)) = 0
((-12 + -3x) + x(4 + x)) = 0
(-12 + -3x + (4 * x + x * x)) = 0
(-12 + -3x + (4x + x2)) = 0

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = 0

Solving
-12 + 1x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(3 + -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 '(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

Solution

x = {-4, 3}

See similar equations:

| 2(4z-1)-3(z+6)=3(z+11) | | -5(2n+3)=20 | | 3x-5=7-2x | | -2x+8=0 | | 10=y-3 | | x+4=-5 | | 1.1j+2=7.5 | | -.25x+.5=4 | | 5t-14=-14 | | -9m-9=9 | | 13+3p=7 | | 18-7f=4 | | 2q-6=4 | | 5t-4=6 | | x-2*x-5= | | 5w-12=3 | | -10+2d=8 | | 2r-7=-1 | | 2b+4=-8 | | 4x+17=-15 | | 6(x+3)=4 | | 23x-16=14-17x | | 4x+6x+3=-5 | | 7(x-5)=3(x+1) | | 3x+x-9=10 | | 5x+6x-16=3x+2x-4 | | 18x-43=65 | | 2x+1=4x-7 | | y=3x+2 | | 4(2-3p)-2=3(4p-2) | | 4x-8-3x+12=5 | | 7(5x)=6(4) |

Equations solver categories