(h+1)(h-1)=(h-1)(2h-1)

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


Simplifying
(h + 1)(h + -1) = (h + -1)(2h + -1)

Reorder the terms:
(1 + h)(h + -1) = (h + -1)(2h + -1)

Reorder the terms:
(1 + h)(-1 + h) = (h + -1)(2h + -1)

Multiply (1 + h) * (-1 + h)
(1(-1 + h) + h(-1 + h)) = (h + -1)(2h + -1)
((-1 * 1 + h * 1) + h(-1 + h)) = (h + -1)(2h + -1)
((-1 + 1h) + h(-1 + h)) = (h + -1)(2h + -1)
(-1 + 1h + (-1 * h + h * h)) = (h + -1)(2h + -1)
(-1 + 1h + (-1h + h2)) = (h + -1)(2h + -1)

Combine like terms: 1h + -1h = 0
(-1 + 0 + h2) = (h + -1)(2h + -1)
(-1 + h2) = (h + -1)(2h + -1)

Reorder the terms:
-1 + h2 = (-1 + h)(2h + -1)

Reorder the terms:
-1 + h2 = (-1 + h)(-1 + 2h)

Multiply (-1 + h) * (-1 + 2h)
-1 + h2 = (-1(-1 + 2h) + h(-1 + 2h))
-1 + h2 = ((-1 * -1 + 2h * -1) + h(-1 + 2h))
-1 + h2 = ((1 + -2h) + h(-1 + 2h))
-1 + h2 = (1 + -2h + (-1 * h + 2h * h))
-1 + h2 = (1 + -2h + (-1h + 2h2))

Combine like terms: -2h + -1h = -3h
-1 + h2 = (1 + -3h + 2h2)

Solving
-1 + h2 = 1 + -3h + 2h2

Solving for variable 'h'.

Reorder the terms:
-1 + -1 + 3h + h2 + -2h2 = 1 + -3h + 2h2 + -1 + 3h + -2h2

Combine like terms: -1 + -1 = -2
-2 + 3h + h2 + -2h2 = 1 + -3h + 2h2 + -1 + 3h + -2h2

Combine like terms: h2 + -2h2 = -1h2
-2 + 3h + -1h2 = 1 + -3h + 2h2 + -1 + 3h + -2h2

Reorder the terms:
-2 + 3h + -1h2 = 1 + -1 + -3h + 3h + 2h2 + -2h2

Combine like terms: 1 + -1 = 0
-2 + 3h + -1h2 = 0 + -3h + 3h + 2h2 + -2h2
-2 + 3h + -1h2 = -3h + 3h + 2h2 + -2h2

Combine like terms: -3h + 3h = 0
-2 + 3h + -1h2 = 0 + 2h2 + -2h2
-2 + 3h + -1h2 = 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
-2 + 3h + -1h2 = 0

Factor a trinomial.
(-2 + h)(1 + -1h) = 0


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

Simplifying
-2 + h = 0

Solving
-2 + h = 0

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

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

Combine like terms: -2 + 2 = 0
0 + h = 0 + 2
h = 0 + 2

Combine like terms: 0 + 2 = 2
h = 2

Simplifying
h = 2

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

Simplifying
1 + -1h = 0

Solving
1 + -1h = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1h = 0 + -1
-1h = 0 + -1

Combine like terms: 0 + -1 = -1
-1h = -1

Divide each side by '-1'.
h = 1

Simplifying
h = 1
Solution
h = {2, 1}

See similar equations:

| 5x+-19+13x=2(x+5)+-12 | | -2x-12=5x+9 | | 25(x-12)=4 | | 2x+y=170 | | 12p=144 | | 32+-24x=17 | | 2x^2+x-6x-3=0 | | 6.1x-5+x-1.3= | | -3x=-7+4x | | 20=7h-12h | | 8y^2-16y=0 | | 6t-5=61 | | 6(5-4x)=26 | | 6t-58=61 | | (a-3)(a-4)= | | .04h-7=2.4h-2h+3 | | Y=5x-60 | | 19-4c=7 | | 3(23-45)=15-(45-6) | | 10-9x-5=19+x | | 65x^5-8x*3-7=0 | | 88=6k+5k | | 5x^2-29-6= | | -39s-s=-80 | | 2(2x-3y)(2x+5y)= | | 2(8+4x)=32 | | 24-2c=20(2c-3) | | 2(n+3)=2n+3 | | 2lnx=4 | | 5a+12a=-37-14 | | X^3+5x^2=0 | | 2d+.20=.60 |

Equations solver categories