(x-1)(x-3)(x-5)(x-7)=-15

Simple and best practice solution for (x-1)(x-3)(x-5)(x-7)=-15 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-1)(x-3)(x-5)(x-7)=-15 equation: 


Simplifying
(x + -1)(x + -3)(x + -5)(x + -7) = -15

Reorder the terms:
(-1 + x)(x + -3)(x + -5)(x + -7) = -15

Reorder the terms:
(-1 + x)(-3 + x)(x + -5)(x + -7) = -15

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(x + -7) = -15

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(-7 + x) = -15

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-5 + x)(-7 + x) = -15
((-3 * -1 + x * -1) + x(-3 + x))(-5 + x)(-7 + x) = -15
((3 + -1x) + x(-3 + x))(-5 + x)(-7 + x) = -15
(3 + -1x + (-3 * x + x * x))(-5 + x)(-7 + x) = -15
(3 + -1x + (-3x + x2))(-5 + x)(-7 + x) = -15

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(-5 + x)(-7 + x) = -15

Multiply (3 + -4x + x2) * (-5 + x)
(3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = -15
((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = -15
((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = -15
(-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))(-7 + x) = -15
(-15 + 3x + (20x + -4x2) + x2(-5 + x))(-7 + x) = -15
(-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))(-7 + x) = -15
(-15 + 3x + 20x + -4x2 + (-5x2 + x3))(-7 + x) = -15

Combine like terms: 3x + 20x = 23x
(-15 + 23x + -4x2 + -5x2 + x3)(-7 + x) = -15

Combine like terms: -4x2 + -5x2 = -9x2
(-15 + 23x + -9x2 + x3)(-7 + x) = -15

Multiply (-15 + 23x + -9x2 + x3) * (-7 + x)
(-15(-7 + x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = -15
((-7 * -15 + x * -15) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = -15
((105 + -15x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = -15
(105 + -15x + (-7 * 23x + x * 23x) + -9x2 * (-7 + x) + x3(-7 + x)) = -15
(105 + -15x + (-161x + 23x2) + -9x2 * (-7 + x) + x3(-7 + x)) = -15
(105 + -15x + -161x + 23x2 + (-7 * -9x2 + x * -9x2) + x3(-7 + x)) = -15
(105 + -15x + -161x + 23x2 + (63x2 + -9x3) + x3(-7 + x)) = -15
(105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7 * x3 + x * x3)) = -15
(105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7x3 + x4)) = -15

Combine like terms: -15x + -161x = -176x
(105 + -176x + 23x2 + 63x2 + -9x3 + -7x3 + x4) = -15

Combine like terms: 23x2 + 63x2 = 86x2
(105 + -176x + 86x2 + -9x3 + -7x3 + x4) = -15

Combine like terms: -9x3 + -7x3 = -16x3
(105 + -176x + 86x2 + -16x3 + x4) = -15

Solving
105 + -176x + 86x2 + -16x3 + x4 = -15

Solving for variable 'x'.

Reorder the terms:
105 + 15 + -176x + 86x2 + -16x3 + x4 = -15 + 15

Combine like terms: 105 + 15 = 120
120 + -176x + 86x2 + -16x3 + x4 = -15 + 15

Combine like terms: -15 + 15 = 0
120 + -176x + 86x2 + -16x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 8c+5=18 | | 2h+10=19 | | (a-10)(a/10)=200 | | 5z-2=24 | | 5z-2=22 | | 17q=187 | | 192=2w^2+20w | | 5=n^2-n | | x^2+2x+11=k(2x+1) | | 4x^2-35x+55=-7x+10 | | x^2-3x+5=4x-5 | | x^2-9=-4x-4 | | y=0.14+0.5(90) | | 4y-7=8y+17 | | 450x=810 | | 6(5c-3)+2=74 | | x-3x-7=5+2x | | 6(7r-2)+8=416 | | 6x+(4y-4)-13= | | 11-(x+4)= | | 1/15=x/3 | | 7(10a-7)-2=369 | | 4x^2-2px+3p-5=0 | | (x^​5-​5*​x^​4/​6)^​3 | | 20+4=x | | 6x+17=-19 | | 17y^2+65y-12= | | -7x-8=-3x+4 | | -6x-14=-2x-22 | | 3f-2f=f | | 5t^2+40t=-75 | | 810/x=450 |

Equations solver categories