(X-4)(3X+7)=0

Simple and best practice solution for (X-4)(3X+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 (X-4)(3X+7)=0 equation: 


Simplifying
(X + -4)(3X + 7) = 0

Reorder the terms:
(-4 + X)(3X + 7) = 0

Reorder the terms:
(-4 + X)(7 + 3X) = 0

Multiply (-4 + X) * (7 + 3X)
(-4(7 + 3X) + X(7 + 3X)) = 0
((7 * -4 + 3X * -4) + X(7 + 3X)) = 0
((-28 + -12X) + X(7 + 3X)) = 0
(-28 + -12X + (7 * X + 3X * X)) = 0
(-28 + -12X + (7X + 3X2)) = 0

Combine like terms: -12X + 7X = -5X
(-28 + -5X + 3X2) = 0

Solving
-28 + -5X + 3X2 = 0

Solving for variable 'X'.

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


Subproblem 1
Set the factor '(-7 + -3X)' equal to zero and attempt to solve:

Simplifying
-7 + -3X = 0

Solving
-7 + -3X = 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 + -3X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3X = 0 + 7
-3X = 0 + 7

Combine like terms: 0 + 7 = 7
-3X = 7

Divide each side by '-3'.
X = -2.333333333

Simplifying
X = -2.333333333

Subproblem 2
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
Solution
X = {-2.333333333, 4}

See similar equations:

| 20x-5(4x-6)=30 | | 4x-7=x+3(4+x) | | 5x-5=-15 | | 6s-12-2(s+2)= | | -x^2-8x-28=0 | | x^2-4x+32= | | -4x^2-3x+0=0 | | 4x-13=-1 | | 5w^2-17w-12=0 | | x^2-2x+35= | | 2w^2+1w-66= | | 9y^2+6y-8=0 | | 4y+3x=5 | | 2w^2+5w+39=w^2-6w+9 | | 5y^2+17y+6=0 | | (n-8)*8=64 | | (n-8)*6=60 | | 5*2x^2= | | Cx+Dy=F | | 5x*2x^2= | | 320+80X=1.5 | | 6x+8=-62-8x | | 4x+3=8+x | | (w-2)(w-2)=2w^2-12w+16 | | 4x+3=8x | | f(y-1)=x^2-5x | | 4v^4-18v^3-10v^2=0 | | 9w^2-10w+1=0 | | 3z^2+13z+12=0 | | 111-5x=3x | | 14-7x=166-35x | | 16x-31=4x+5 |

Equations solver categories