(2x-3)*(2x-3)-x(2x-3)=0

Simple and best practice solution for (2x-3)*(2x-3)-x(2x-3)=0 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-3)*(2x-3)-x(2x-3)=0 equation: 


Simplifying
(2x + -3)(2x + -3) + -1x(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(2x + -3) + -1x(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(-3 + 2x) + -1x(2x + -3) = 0

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x)) + -1x(2x + -3) = 0
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + -1x(2x + -3) = 0
((9 + -6x) + 2x * (-3 + 2x)) + -1x(2x + -3) = 0
(9 + -6x + (-3 * 2x + 2x * 2x)) + -1x(2x + -3) = 0
(9 + -6x + (-6x + 4x2)) + -1x(2x + -3) = 0

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2) + -1x(2x + -3) = 0

Reorder the terms:
9 + -12x + 4x2 + -1x(-3 + 2x) = 0
9 + -12x + 4x2 + (-3 * -1x + 2x * -1x) = 0
9 + -12x + 4x2 + (3x + -2x2) = 0

Reorder the terms:
9 + -12x + 3x + 4x2 + -2x2 = 0

Combine like terms: -12x + 3x = -9x
9 + -9x + 4x2 + -2x2 = 0

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

Solving
9 + -9x + 2x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.5, 3}

See similar equations:

| 3x^2-24x=15 | | (360/2.6179938779914943653855361527329)=(100/x) | | 8.6-(-1.9)= | | 0.3z+1.25=2.4z-4.1 | | 3y+6-4y=-5 | | .88=ln(x) | | -5(7x+2)=-225 | | v-3=-5 | | X=[3] | | X=6x^3-1 | | 49+12=y | | 3x-7=11x+2 | | 2x+85+x+60+x-25=360 | | 5=v/31.25 | | x+6x-13+3x=180 | | x+6x-13+3x=180 | | 5=v/31.25 | | 7(x+4)=2(3x+2) | | F(x)=6x^3-1 | | 7(x+4)=2(3x+2) | | 7(x+4)=2(3x+2) | | 4c^2+64=0 | | 2in=.25mi | | 9d-9=41 | | log6^1/6 | | 2x+1=22-x | | Y/2=5.12 | | H(2)=(-16t^2)+5t+130 | | Y/2=5.12 | | 8cm=2.5m | | 9d-9=41 | | Y/2=5.12 |

Equations solver categories