(4x-12)(x+7)=0

Simple and best practice solution for (4x-12)(x+7)=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 (4x-12)(x+7)=0 equation: 


Simplifying
(4x + -12)(x + 7) = 0

Reorder the terms:
(-12 + 4x)(x + 7) = 0

Reorder the terms:
(-12 + 4x)(7 + x) = 0

Multiply (-12 + 4x) * (7 + x)
(-12(7 + x) + 4x * (7 + x)) = 0
((7 * -12 + x * -12) + 4x * (7 + x)) = 0
((-84 + -12x) + 4x * (7 + x)) = 0
(-84 + -12x + (7 * 4x + x * 4x)) = 0
(-84 + -12x + (28x + 4x2)) = 0

Combine like terms: -12x + 28x = 16x
(-84 + 16x + 4x2) = 0

Solving
-84 + 16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + 4x + x2) = 0

Factor a trinomial.
4((-7 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 3}

See similar equations:

| p=140-0.5x | | -6=2x-1x | | 6x^2+22x-18=0 | | y=-a-x | | Ln(x)=24 | | 6x^2+22-18=0 | | 6a=6a+12 | | x(x-4)(x+14)=0 | | ax+1=bx-y | | P=80x-.4x^2-200 | | .8x-4=2x-3 | | 21x-5x=32 | | 9x+1=6x+6 | | 32-6x=14-9x | | z-i=2z-1 | | x+7-6x=-23 | | 4x+14=23 | | 2y^2+9y-2=(y+2)(y-7) | | -4x+5+2x=-19 | | 11(k-1)=7(k-9.015228426) | | -2(2x-2)+2x=-32 | | x^3-10x^2+x-2015=0 | | 3(y-10)+1=-1.925(y-8) | | 1-6x+3x=31 | | 14-(x+4.7)=3(x+9)-10 | | 3x^4-8x^3-18x^2+12=0 | | 0.5x^2=68 | | 34x+12xy+12y= | | (5y-9)(-9y^2-y+6)= | | x=3*4-8*x | | 2*3.14x=94.2 | | 5x+10y=-25 |

Equations solver categories