(h+5)(h-2)=18

Simple and best practice solution for (h+5)(h-2)=18 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+5)(h-2)=18 equation: 


Simplifying
(h + 5)(h + -2) = 18

Reorder the terms:
(5 + h)(h + -2) = 18

Reorder the terms:
(5 + h)(-2 + h) = 18

Multiply (5 + h) * (-2 + h)
(5(-2 + h) + h(-2 + h)) = 18
((-2 * 5 + h * 5) + h(-2 + h)) = 18
((-10 + 5h) + h(-2 + h)) = 18
(-10 + 5h + (-2 * h + h * h)) = 18
(-10 + 5h + (-2h + h2)) = 18

Combine like terms: 5h + -2h = 3h
(-10 + 3h + h2) = 18

Solving
-10 + 3h + h2 = 18

Solving for variable 'h'.

Reorder the terms:
-10 + -18 + 3h + h2 = 18 + -18

Combine like terms: -10 + -18 = -28
-28 + 3h + h2 = 18 + -18

Combine like terms: 18 + -18 = 0
-28 + 3h + h2 = 0

Factor a trinomial.
(-7 + -1h)(4 + -1h) = 0


Subproblem 1
Set the factor '(-7 + -1h)' equal to zero and attempt to solve:

Simplifying
-7 + -1h = 0

Solving
-7 + -1h = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1h = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1h = 0 + 7
-1h = 0 + 7

Combine like terms: 0 + 7 = 7
-1h = 7

Divide each side by '-1'.
h = -7

Simplifying
h = -7

Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-7, 4}

See similar equations:

| 2z+4=14 | | f^2+8f+16=0 | | -11v+6=-7v+18 | | 7y-12y=-25 | | (3)ln(x)=21 | | y=1-9x/6x | | (3)lnx=21 | | a+5=20 | | 4y=-6y+70 | | 11x-107=133-5x | | 11x^2-32x-9=0 | | -5x-1+3x=-23 | | 10a-2(a+3)=5a | | 9ax^2-6ax-3+a=0 | | x^3-x+60=0 | | 12x-6xy=0 | | (x+1)(2x^2+3x+1)= | | x^3-x-60=0 | | C-7=-2 | | x^3+x-60=0 | | 7x-10=9x+20 | | 4x^3-7x^2+3x-9=0 | | 4-(4x+1)=3x-4(6-x)+8 | | ln(x+1)+ln(2)=5 | | 7+3w=16 | | 2/3x-14=-4 | | 2s-4=10 | | 6.2=x/5 | | 28=(2x-3+4x+5)2 | | 2r^2=12+5r | | x^2+-14x=51 | | 6b^2+4b=0 |

Equations solver categories