(x-5)(4x+12)=0

Simple and best practice solution for (x-5)(4x+12)=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-5)(4x+12)=0 equation:


Simplifying
(x + -5)(4x + 12) = 0

Reorder the terms:
(-5 + x)(4x + 12) = 0

Reorder the terms:
(-5 + x)(12 + 4x) = 0

Multiply (-5 + x) * (12 + 4x)
(-5(12 + 4x) + x(12 + 4x)) = 0
((12 * -5 + 4x * -5) + x(12 + 4x)) = 0
((-60 + -20x) + x(12 + 4x)) = 0
(-60 + -20x + (12 * x + 4x * x)) = 0
(-60 + -20x + (12x + 4x2)) = 0

Combine like terms: -20x + 12x = -8x
(-60 + -8x + 4x2) = 0

Solving
-60 + -8x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -2x + x2) = 0

Factor a trinomial.
4((-3 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

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 '(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 = {-3, 5}

See similar equations:

| (5t+3)-2(t+3)=29-5t | | -(3y+1)-(-2y-2)=-1 | | -7+-1y+y=2 | | 9+4x-10=43 | | 7=3(x-4)-(x-5) | | 5.6-c= | | V+1=2z+2 | | 3v-8=2v-3 | | 6-2d=9-3d | | 3x-3=5x+5 | | 3z-8=2z-3 | | 2(x+3)+2(x+4)=24 | | 3x+5=4x-35 | | 2(-4)+(-4-9)=-17-(-4) | | 49-14y+y^2=37 | | 10x+15=9x-15 | | 3(5+y)-3y=12 | | 2(-4)+(-4-9)=-17(-4) | | 7x+11y=-32 | | 2x^2+11x+9=-3 | | 35-8=25-3 | | 2(-4)+(-4-9)=-17 | | 58-x=3x | | 5x+20=6x+4 | | -21b=r | | 3x-16=2x+20 | | (f)x=5lnx+12x^2-9 | | t(t+4)-1=t(t+2)+2 | | 0.67u-7=9-0.67u | | (x-2)-2(x-1)=X+1-(x-6) | | -(7y-4)-(-6y-8)=6 | | 3-0.4(q-6)=0.2(12q-6) |

Equations solver categories