(2x-1)(2x-1)=(x-1)(x-1)+8

Simple and best practice solution for (2x-1)(2x-1)=(x-1)(x-1)+8 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 (2x-1)(2x-1)=(x-1)(x-1)+8 equation: 


Simplifying
(2x + -1)(2x + -1) = (x + -1)(x + -1) + 8

Reorder the terms:
(-1 + 2x)(2x + -1) = (x + -1)(x + -1) + 8

Reorder the terms:
(-1 + 2x)(-1 + 2x) = (x + -1)(x + -1) + 8

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) = (x + -1)(x + -1) + 8
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = (x + -1)(x + -1) + 8
((1 + -2x) + 2x * (-1 + 2x)) = (x + -1)(x + -1) + 8
(1 + -2x + (-1 * 2x + 2x * 2x)) = (x + -1)(x + -1) + 8
(1 + -2x + (-2x + 4x2)) = (x + -1)(x + -1) + 8

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) = (x + -1)(x + -1) + 8

Reorder the terms:
1 + -4x + 4x2 = (-1 + x)(x + -1) + 8

Reorder the terms:
1 + -4x + 4x2 = (-1 + x)(-1 + x) + 8

Multiply (-1 + x) * (-1 + x)
1 + -4x + 4x2 = (-1(-1 + x) + x(-1 + x)) + 8
1 + -4x + 4x2 = ((-1 * -1 + x * -1) + x(-1 + x)) + 8
1 + -4x + 4x2 = ((1 + -1x) + x(-1 + x)) + 8
1 + -4x + 4x2 = (1 + -1x + (-1 * x + x * x)) + 8
1 + -4x + 4x2 = (1 + -1x + (-1x + x2)) + 8

Combine like terms: -1x + -1x = -2x
1 + -4x + 4x2 = (1 + -2x + x2) + 8

Reorder the terms:
1 + -4x + 4x2 = 1 + 8 + -2x + x2

Combine like terms: 1 + 8 = 9
1 + -4x + 4x2 = 9 + -2x + x2

Solving
1 + -4x + 4x2 = 9 + -2x + x2

Solving for variable 'x'.

Reorder the terms:
1 + -9 + -4x + 2x + 4x2 + -1x2 = 9 + -2x + x2 + -9 + 2x + -1x2

Combine like terms: 1 + -9 = -8
-8 + -4x + 2x + 4x2 + -1x2 = 9 + -2x + x2 + -9 + 2x + -1x2

Combine like terms: -4x + 2x = -2x
-8 + -2x + 4x2 + -1x2 = 9 + -2x + x2 + -9 + 2x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-8 + -2x + 3x2 = 9 + -2x + x2 + -9 + 2x + -1x2

Reorder the terms:
-8 + -2x + 3x2 = 9 + -9 + -2x + 2x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-8 + -2x + 3x2 = 0 + -2x + 2x + x2 + -1x2
-8 + -2x + 3x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-8 + -2x + 3x2 = 0 + x2 + -1x2
-8 + -2x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -2x + 3x2 = 0

Factor a trinomial.
(-4 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.333333333, 2}

See similar equations:

| 10+5x=-5(x-8) | | -3b+3=-6(b-4) | | 3d+3=6(2-d) | | 3(x-1)-5=6x-3(3+x) | | 9(6-z)=-8z | | 9(2+w)=7w-10 | | -2x-10+5=26 | | x^2+49=(x+1)(x+1) | | (2x-5)-(3x-7)=4 | | 4p+5(1-p)=5p+1(1-p) | | 49=x^2(x+1)(x+1) | | 298.70=7.25s+15.95(6) | | 2(3y-18)=9y | | 6k+12=-k-5-4 | | 5x^2-24x+132=0 | | 5(x-9)-11=15-7(x-7) | | 2x-20=4x+8 | | 72x-10x^2-2x^3=0 | | c=7.35s+15.95 | | -2x-4x=-42 | | 75.25=20+4.25w | | x^2=-0.5 | | 3x^3-39x^2+126x=0 | | 5(x+8)+6=14 | | 24x^2-21x-3x^3=0 | | 0=(x+1)(x-5)(x-4-4i)(x-4+4i) | | X+2(6)=9 | | (4+u)(3u+1)=0 | | -8(4+9x)=-7(-2-11x) | | 6-12x=2x-22 | | x(x+10)=21 | | 23x+5y=-29 |

Equations solver categories