1000(x-4)(x-7)=0

Simple and best practice solution for 1000(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 1000(x-4)(x-7)=0 equation: 


Simplifying
1000(x + -4)(x + -7) = 0

Reorder the terms:
1000(-4 + x)(x + -7) = 0

Reorder the terms:
1000(-4 + x)(-7 + x) = 0

Multiply (-4 + x) * (-7 + x)
1000(-4(-7 + x) + x(-7 + x)) = 0
1000((-7 * -4 + x * -4) + x(-7 + x)) = 0
1000((28 + -4x) + x(-7 + x)) = 0
1000(28 + -4x + (-7 * x + x * x)) = 0
1000(28 + -4x + (-7x + x2)) = 0

Combine like terms: -4x + -7x = -11x
1000(28 + -11x + x2) = 0
(28 * 1000 + -11x * 1000 + x2 * 1000) = 0
(28000 + -11000x + 1000x2) = 0

Solving
28000 + -11000x + 1000x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '1000'.
1000(28 + -11x + x2) = 0

Factor a trinomial.
1000((4 + -1x)(7 + -1x)) = 0

Ignore the factor 1000.

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 '(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 = {4, 7}

See similar equations:

| -3x+8=32 | | 14-8x=44-29x | | -7-2x=13-7x | | 6s+13s=133 | | 4(x-1)=7x-19 | | -35-7x=10x+16 | | 2m-1=-6m+5 | | 6x^2+24x+16=142 | | 35=7 | | taco=fart | | 5x^3-24x^2+x+12=0 | | 6x+8=-83-7x | | 5+12x=82+x | | 2x-1=11x-82 | | 96x=2208 | | 9x-7=9(x+9) | | 8x-17=7x-17 | | -9.3x=27.9 | | 2(3x-3)-22(x+1)=15 | | 3-2k=-7 | | 6(x+4)=3(2x+4)+12 | | 5p=-35 | | lx+5l=9 | | 6-3(3x-2)=-33 | | 5c+3-4C=-30+9 | | -4(3b+1)+(13b-4)=0 | | -3(x-4)-4x=-4(x+2)-5x | | 77z=693 | | p+2p-3=6 | | 58+12x= | | 2.6q-3.4-5.1q=-3.5q-5.6 | | 3(x+2)=8(x-1)+5 |

Equations solver categories