(x-4)(x-5)(x-6)(x-7)=1680

Simple and best practice solution for (x-4)(x-5)(x-6)(x-7)=1680 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)(x-5)(x-6)(x-7)=1680 equation: 


Simplifying
(x + -4)(x + -5)(x + -6)(x + -7) = 1680

Reorder the terms:
(-4 + x)(x + -5)(x + -6)(x + -7) = 1680

Reorder the terms:
(-4 + x)(-5 + x)(x + -6)(x + -7) = 1680

Reorder the terms:
(-4 + x)(-5 + x)(-6 + x)(x + -7) = 1680

Reorder the terms:
(-4 + x)(-5 + x)(-6 + x)(-7 + x) = 1680

Multiply (-4 + x) * (-5 + x)
(-4(-5 + x) + x(-5 + x))(-6 + x)(-7 + x) = 1680
((-5 * -4 + x * -4) + x(-5 + x))(-6 + x)(-7 + x) = 1680
((20 + -4x) + x(-5 + x))(-6 + x)(-7 + x) = 1680
(20 + -4x + (-5 * x + x * x))(-6 + x)(-7 + x) = 1680
(20 + -4x + (-5x + x2))(-6 + x)(-7 + x) = 1680

Combine like terms: -4x + -5x = -9x
(20 + -9x + x2)(-6 + x)(-7 + x) = 1680

Multiply (20 + -9x + x2) * (-6 + x)
(20(-6 + x) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 1680
((-6 * 20 + x * 20) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 1680
((-120 + 20x) + -9x * (-6 + x) + x2(-6 + x))(-7 + x) = 1680
(-120 + 20x + (-6 * -9x + x * -9x) + x2(-6 + x))(-7 + x) = 1680
(-120 + 20x + (54x + -9x2) + x2(-6 + x))(-7 + x) = 1680
(-120 + 20x + 54x + -9x2 + (-6 * x2 + x * x2))(-7 + x) = 1680
(-120 + 20x + 54x + -9x2 + (-6x2 + x3))(-7 + x) = 1680

Combine like terms: 20x + 54x = 74x
(-120 + 74x + -9x2 + -6x2 + x3)(-7 + x) = 1680

Combine like terms: -9x2 + -6x2 = -15x2
(-120 + 74x + -15x2 + x3)(-7 + x) = 1680

Multiply (-120 + 74x + -15x2 + x3) * (-7 + x)
(-120(-7 + x) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 1680
((-7 * -120 + x * -120) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 1680
((840 + -120x) + 74x * (-7 + x) + -15x2 * (-7 + x) + x3(-7 + x)) = 1680
(840 + -120x + (-7 * 74x + x * 74x) + -15x2 * (-7 + x) + x3(-7 + x)) = 1680
(840 + -120x + (-518x + 74x2) + -15x2 * (-7 + x) + x3(-7 + x)) = 1680
(840 + -120x + -518x + 74x2 + (-7 * -15x2 + x * -15x2) + x3(-7 + x)) = 1680
(840 + -120x + -518x + 74x2 + (105x2 + -15x3) + x3(-7 + x)) = 1680
(840 + -120x + -518x + 74x2 + 105x2 + -15x3 + (-7 * x3 + x * x3)) = 1680
(840 + -120x + -518x + 74x2 + 105x2 + -15x3 + (-7x3 + x4)) = 1680

Combine like terms: -120x + -518x = -638x
(840 + -638x + 74x2 + 105x2 + -15x3 + -7x3 + x4) = 1680

Combine like terms: 74x2 + 105x2 = 179x2
(840 + -638x + 179x2 + -15x3 + -7x3 + x4) = 1680

Combine like terms: -15x3 + -7x3 = -22x3
(840 + -638x + 179x2 + -22x3 + x4) = 1680

Solving
840 + -638x + 179x2 + -22x3 + x4 = 1680

Solving for variable 'x'.

Reorder the terms:
840 + -1680 + -638x + 179x2 + -22x3 + x4 = 1680 + -1680

Combine like terms: 840 + -1680 = -840
-840 + -638x + 179x2 + -22x3 + x4 = 1680 + -1680

Combine like terms: 1680 + -1680 = 0
-840 + -638x + 179x2 + -22x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| -13x-8x=10x+23 | | 3(c-2)-2c=62 | | 0.25x+38.54=c | | 3y+4=8 | | 2(x-33)+3(x-2)=8 | | 6n-3n=-9 | | 4a^2b^2+16ab=0 | | -9=-5b-4b | | 4a^2b^2+-16ab=0 | | B=ys+y | | 7-ln(9)=x | | 43.5-.5y+y=90 | | (z+5)=12 | | Ln(9)=0 | | 2x+(x+2)+3(x+4)=152 | | m+36=-4 | | 5n+20n=5(n+100) | | 2(a+1)=-16 | | 20x+8y=240 | | 7x+9=-90-4x | | 5(15)+9=8(15)-36 | | -25=-4p+7 | | 5x^2+9.8=14x | | -157-10x=52-24x | | 35=2x+3y | | 3b+5=12b+4 | | 0.8-2x=1-3x | | -p=-23 | | 3/5(x+5)=1/2(3x-4) | | K=8u+28 | | 8w=120 | | 2=36+r |

Equations solver categories