(x-1)(2x-5)=9

Simple and best practice solution for (x-1)(2x-5)=9 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)(2x-5)=9 equation: 


Simplifying
(x + -1)(2x + -5) = 9

Reorder the terms:
(-1 + x)(2x + -5) = 9

Reorder the terms:
(-1 + x)(-5 + 2x) = 9

Multiply (-1 + x) * (-5 + 2x)
(-1(-5 + 2x) + x(-5 + 2x)) = 9
((-5 * -1 + 2x * -1) + x(-5 + 2x)) = 9
((5 + -2x) + x(-5 + 2x)) = 9
(5 + -2x + (-5 * x + 2x * x)) = 9
(5 + -2x + (-5x + 2x2)) = 9

Combine like terms: -2x + -5x = -7x
(5 + -7x + 2x2) = 9

Solving
5 + -7x + 2x2 = 9

Solving for variable 'x'.

Reorder the terms:
5 + -9 + -7x + 2x2 = 9 + -9

Combine like terms: 5 + -9 = -4
-4 + -7x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-4 + -7x + 2x2 = 0

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


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

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

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

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

Simplifying
x = 4
Solution
x = {-0.5, 4}

See similar equations:

| -d.7=-13 | | -84=d.3 | | a.16=9 | | x^2+4x^2+40x+100=625 | | x^2+4x^2+40x+100=25 | | c.4=16 | | 3(2m+4)=6(m+15) | | 0=x^2+5x+7 | | 3(2n+2)=8(6n+2)+5 | | 1/4*4(3)= | | 2n^2+36=-18n | | 2c-3c=45 | | 2c-c=45 | | 180=x+(2x+10)+25 | | -7+=49 | | (d+8)6= | | 4x^2-20x+53=0 | | 140=w(w+4) | | 2(5)+5(0)=15 | | 6/(3+2)=6/5 | | (4y-3)(3y^2+3y-8)= | | x.7-0.5=2.5 | | -16t^2+112t+288=0 | | -16t^2+112t+288=h | | 3k-7.5=16 | | 2(2)+5(5)=15 | | a-15.3=-9 | | 4(5z-1)-5(z+2)=4(z+1) | | 2(4)+5(0)=15 | | r+13.12=1 | | 16t^2+128t+320=0 | | -5(7-10x)= |

Equations solver categories