(x-1)(x-1)-x(x-2)(x-2)=1-2x*x

Simple and best practice solution for (x-1)(x-1)-x(x-2)(x-2)=1-2x*x 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-1)-x(x-2)(x-2)=1-2x*x equation:


Simplifying
(x + -1)(x + -1) + -1x(x + -2)(x + -2) = 1 + -2x * x

Reorder the terms:
(-1 + x)(x + -1) + -1x(x + -2)(x + -2) = 1 + -2x * x

Reorder the terms:
(-1 + x)(-1 + x) + -1x(x + -2)(x + -2) = 1 + -2x * x

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) + -1x(x + -2)(x + -2) = 1 + -2x * x
((-1 * -1 + x * -1) + x(-1 + x)) + -1x(x + -2)(x + -2) = 1 + -2x * x
((1 + -1x) + x(-1 + x)) + -1x(x + -2)(x + -2) = 1 + -2x * x
(1 + -1x + (-1 * x + x * x)) + -1x(x + -2)(x + -2) = 1 + -2x * x
(1 + -1x + (-1x + x2)) + -1x(x + -2)(x + -2) = 1 + -2x * x

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) + -1x(x + -2)(x + -2) = 1 + -2x * x

Reorder the terms:
1 + -2x + x2 + -1x(-2 + x)(x + -2) = 1 + -2x * x

Reorder the terms:
1 + -2x + x2 + -1x(-2 + x)(-2 + x) = 1 + -2x * x

Multiply (-2 + x) * (-2 + x)
1 + -2x + x2 + -1x(-2(-2 + x) + x(-2 + x)) = 1 + -2x * x
1 + -2x + x2 + -1x((-2 * -2 + x * -2) + x(-2 + x)) = 1 + -2x * x
1 + -2x + x2 + -1x((4 + -2x) + x(-2 + x)) = 1 + -2x * x
1 + -2x + x2 + -1x(4 + -2x + (-2 * x + x * x)) = 1 + -2x * x
1 + -2x + x2 + -1x(4 + -2x + (-2x + x2)) = 1 + -2x * x

Combine like terms: -2x + -2x = -4x
1 + -2x + x2 + -1x(4 + -4x + x2) = 1 + -2x * x
1 + -2x + x2 + (4 * -1x + -4x * -1x + x2 * -1x) = 1 + -2x * x
1 + -2x + x2 + (-4x + 4x2 + -1x3) = 1 + -2x * x

Reorder the terms:
1 + -2x + -4x + x2 + 4x2 + -1x3 = 1 + -2x * x

Combine like terms: -2x + -4x = -6x
1 + -6x + x2 + 4x2 + -1x3 = 1 + -2x * x

Combine like terms: x2 + 4x2 = 5x2
1 + -6x + 5x2 + -1x3 = 1 + -2x * x

Multiply x * x
1 + -6x + 5x2 + -1x3 = 1 + -2x2

Add '-1' to each side of the equation.
1 + -6x + 5x2 + -1 + -1x3 = 1 + -1 + -2x2

Reorder the terms:
1 + -1 + -6x + 5x2 + -1x3 = 1 + -1 + -2x2

Combine like terms: 1 + -1 = 0
0 + -6x + 5x2 + -1x3 = 1 + -1 + -2x2
-6x + 5x2 + -1x3 = 1 + -1 + -2x2

Combine like terms: 1 + -1 = 0
-6x + 5x2 + -1x3 = 0 + -2x2
-6x + 5x2 + -1x3 = -2x2

Solving
-6x + 5x2 + -1x3 = -2x2

Solving for variable 'x'.

Reorder the terms:
-6x + 5x2 + 2x2 + -1x3 = -2x2 + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
-6x + 7x2 + -1x3 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-6x + 7x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 7x + -1x2) = 0

Factor a trinomial.
x((-6 + x)(1 + -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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 3

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {0, 6, 1}

See similar equations:

| 0.9w-.5w+0.1w=-3 | | tan25=9/x | | x-2(y+1)=5 | | h(t)=-5t^2+26.45 | | X+z=100 | | 6x+3y=66 | | -9x^2=6x^2 | | ln(x+37)=x | | 12x^2-113x+255=0 | | 3x/6-8=15 | | -y=-144 | | xy+yx=1 | | -5y-3=2y+12 | | 0.005669x^4+0x^3+0x^2-5x+858.468=0 | | 3x/5-3=21 | | -6-1x+12x=10x+6 | | 5x+11y=6x+3y | | 2x+5=8x-4 | | Abx^2-(a+b)x+1=0 | | 10(x-2)=12 | | 10(e-2)=12 | | 10(0-2)=12 | | 10+N+N=18 | | b=351655c-1x-1 | | 351655=bxc | | (5X+6)-(-3x+10)=2x-4 | | 3(x+3)-7=4(x-2)+5 | | 6(x+13)=7x-8-3x | | 0.009x+0.2(500-x)=0.03*500 | | 3Y-2Z=-5 | | 4[x-1]=0 | | sin(3pix)=1 |

Equations solver categories