(x+a)(x+b)(x+c)=x*3-10x*2+45x-15FINDa*3

Simple and best practice solution for (x+a)(x+b)(x+c)=x*3-10x*2+45x-15FINDa*3 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+a)(x+b)(x+c)=x*3-10x*2+45x-15FINDa*3 equation: 


Simplifying
(x + a)(x + b)(x + c) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Reorder the terms:
(a + x)(x + b)(x + c) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Reorder the terms:
(a + x)(b + x)(x + c) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Reorder the terms:
(a + x)(b + x)(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Multiply (a + x) * (b + x)
(a(b + x) + x(b + x))(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
((b * a + x * a) + x(b + x))(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
((ab + ax) + x(b + x))(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(ab + ax + (b * x + x * x))(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(ab + ax + (bx + x2))(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(ab + ax + bx + x2)(c + x) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Multiply (ab + ax + bx + x2) * (c + x)
(ab(c + x) + ax(c + x) + bx(c + x) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
((c * ab + x * ab) + ax(c + x) + bx(c + x) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
((abc + abx) + ax(c + x) + bx(c + x) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + (c * ax + x * ax) + bx(c + x) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + (acx + ax2) + bx(c + x) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + acx + ax2 + (c * bx + x * bx) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + acx + ax2 + (bcx + bx2) + x2(c + x)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + acx + ax2 + bcx + bx2 + (c * x2 + x * x2)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + acx + ax2 + bcx + bx2 + (cx2 + x3)) = x * 3 + -10x * 2 + 45x + -15FINDa * 3
(abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3) = x * 3 + -10x * 2 + 45x + -15FINDa * 3

Reorder the terms for easier multiplication:
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 3x + -10x * 2 + 45x + -15FINDa * 3

Reorder the terms for easier multiplication:
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 3x + -10 * 2x + 45x + -15FINDa * 3

Multiply -10 * 2
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 3x + -20x + 45x + -15FINDa * 3

Reorder the terms for easier multiplication:
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 3x + -20x + 45x + -15 * 3aDFIN

Multiply -15 * 3
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 3x + -20x + 45x + -45aDFIN

Reorder the terms:
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = -45aDFIN + 3x + -20x + 45x

Combine like terms: 3x + -20x = -17x
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = -45aDFIN + -17x + 45x

Combine like terms: -17x + 45x = 28x
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = -45aDFIN + 28x

Solving
abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = -45aDFIN + 28x

Solving for variable 'a'.

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

Add '45aDFIN' to each side of the equation.
abc + abx + acx + ax2 + bcx + bx2 + cx2 + 45aDFIN + x3 = -45aDFIN + 45aDFIN + 28x

Reorder the terms:
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = -45aDFIN + 45aDFIN + 28x

Combine like terms: -45aDFIN + 45aDFIN = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 0 + 28x
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + x3 = 28x

Add '-1bcx' to each side of the equation.
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -1bcx + x3 = -1bcx + 28x

Reorder the terms:
45aDFIN + abc + abx + acx + ax2 + bcx + -1bcx + bx2 + cx2 + x3 = -1bcx + 28x

Combine like terms: bcx + -1bcx = 0
45aDFIN + abc + abx + acx + ax2 + 0 + bx2 + cx2 + x3 = -1bcx + 28x
45aDFIN + abc + abx + acx + ax2 + bx2 + cx2 + x3 = -1bcx + 28x

Add '-1bx2' to each side of the equation.
45aDFIN + abc + abx + acx + ax2 + bx2 + cx2 + -1bx2 + x3 = -1bcx + -1bx2 + 28x

Reorder the terms:
45aDFIN + abc + abx + acx + ax2 + bx2 + -1bx2 + cx2 + x3 = -1bcx + -1bx2 + 28x

Combine like terms: bx2 + -1bx2 = 0
45aDFIN + abc + abx + acx + ax2 + 0 + cx2 + x3 = -1bcx + -1bx2 + 28x
45aDFIN + abc + abx + acx + ax2 + cx2 + x3 = -1bcx + -1bx2 + 28x

Add '-1cx2' to each side of the equation.
45aDFIN + abc + abx + acx + ax2 + cx2 + -1cx2 + x3 = -1bcx + -1bx2 + -1cx2 + 28x

Combine like terms: cx2 + -1cx2 = 0
45aDFIN + abc + abx + acx + ax2 + 0 + x3 = -1bcx + -1bx2 + -1cx2 + 28x
45aDFIN + abc + abx + acx + ax2 + x3 = -1bcx + -1bx2 + -1cx2 + 28x

Add '-1x3' to each side of the equation.
45aDFIN + abc + abx + acx + ax2 + x3 + -1x3 = -1bcx + -1bx2 + -1cx2 + 28x + -1x3

Combine like terms: x3 + -1x3 = 0
45aDFIN + abc + abx + acx + ax2 + 0 = -1bcx + -1bx2 + -1cx2 + 28x + -1x3
45aDFIN + abc + abx + acx + ax2 = -1bcx + -1bx2 + -1cx2 + 28x + -1x3

Reorder the terms:
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = -1bcx + bcx + -1bx2 + bx2 + -1cx2 + cx2 + 28x + -28x + -1x3 + x3

Combine like terms: -1bcx + bcx = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 0 + -1bx2 + bx2 + -1cx2 + cx2 + 28x + -28x + -1x3 + x3
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = -1bx2 + bx2 + -1cx2 + cx2 + 28x + -28x + -1x3 + x3

Combine like terms: -1bx2 + bx2 = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 0 + -1cx2 + cx2 + 28x + -28x + -1x3 + x3
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = -1cx2 + cx2 + 28x + -28x + -1x3 + x3

Combine like terms: -1cx2 + cx2 = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 0 + 28x + -28x + -1x3 + x3
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 28x + -28x + -1x3 + x3

Combine like terms: 28x + -28x = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 0 + -1x3 + x3
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
45aDFIN + abc + abx + acx + ax2 + bcx + bx2 + cx2 + -28x + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 3x^4+7x^2+5=0 | | (x+a)(x+b)(x+c)=x*3-10x*2+45*x-15 | | 10-2b=7b+17 | | 6+8x=20+x | | 10-2b=7t+17 | | -12(-m-6)=-4(m-2) | | 6x+5=-39-5 | | A=5x+3 | | 3x-4x=2-9-2 | | -9(1-x)+5(10-2x)=x-7+10x | | 7+2y-18=x | | y=5q+(2q-6)(q+3) | | x+7+2y=18 | | 3x=11(x+11)-8(x-2) | | 12x+5=-15-2x | | 12x-32=40 | | 4(6-2x)=16 | | y=x^3-2x^2-2x+4 | | 5(a+1)=6(a-2) | | 7a-8=3a-4 | | (7)+(-7)= | | (2-y)-y=20 | | (7)-(7)= | | 11(k+7)+8k=-9k+7(k-4) | | 3m-1/2=3m-5 | | (7)+(7)= | | 8cos^3x+1=0 | | 2ln(2x-1)=9 | | -4x+12=-16 | | 7(9a-4)=35 | | (6-j)(1+j)= | | 8cos^3x+q=0 |

Equations solver categories