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

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


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

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

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

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

Combine like terms: -4x + -7x = -11x
x(28 + -11x + x2) = 0
(28 * x + -11x * x + x2 * x) = 0
(28x + -11x2 + x3) = 0

Solving
28x + -11x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + -11x + x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
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
Solution
x = {0, 4, 7}

See similar equations:

| 2x-12x=-10+6 | | 5.89x+29.45=58.9 | | 3x-8=5x-4 | | 2x-5+3x=4x+4 | | 8=3rl | | 4z^2+320=0 | | 8x+2=2x+c | | 4z+320=0 | | 5x+13+3x-1=9x+1 | | 10x^2+23x+15=0 | | 3y^4=27y^2 | | 4(t+3)=3 | | x^2=0.81 | | -10x+300=0 | | y=16x^3 | | -e+fx-gy=h | | 5.9+23.6=47.2 | | 5-(9x^2+7x)=0 | | 2.63x+13.15=26.3 | | .20x+.45(70)=43.5 | | 3(6t-2)-8=5-t | | d=8x-3 | | 6.6x+4=4.56+2x | | 3p-6=0 | | 12t+11t+2=0 | | 16r^2+4r=12r^3 | | 2.11x+81=4.452+1+9x | | 2z+0.98=z-0.52 | | a=8x-3 | | 5r=230 | | 99-118=-8(-4y)-17(2y)+y | | 0.01(x-2)=150 |

Equations solver categories