=(3x-2)(2x-5)

Simple and best practice solution for =(3x-2)(2x-5) 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 =(3x-2)(2x-5) equation: 


Simplifying
0 = (3x + -2)(2x + -5)

Reorder the terms:
0 = (-2 + 3x)(2x + -5)

Reorder the terms:
0 = (-2 + 3x)(-5 + 2x)

Multiply (-2 + 3x) * (-5 + 2x)
0 = (-2(-5 + 2x) + 3x * (-5 + 2x))
0 = ((-5 * -2 + 2x * -2) + 3x * (-5 + 2x))
0 = ((10 + -4x) + 3x * (-5 + 2x))
0 = (10 + -4x + (-5 * 3x + 2x * 3x))
0 = (10 + -4x + (-15x + 6x2))

Combine like terms: -4x + -15x = -19x
0 = (10 + -19x + 6x2)

Solving
0 = 10 + -19x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + 19x + -6x2 = 10 + -19x + 6x2 + -10 + 19x + -6x2

Reorder the terms:
-10 + 19x + -6x2 = 10 + -10 + -19x + 19x + 6x2 + -6x2

Combine like terms: 10 + -10 = 0
-10 + 19x + -6x2 = 0 + -19x + 19x + 6x2 + -6x2
-10 + 19x + -6x2 = -19x + 19x + 6x2 + -6x2

Combine like terms: -19x + 19x = 0
-10 + 19x + -6x2 = 0 + 6x2 + -6x2
-10 + 19x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-10 + 19x + -6x2 = 0

Factor a trinomial.
(-5 + 2x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {2.5, 0.6666666667}

See similar equations:

| 3(a-6)=27 | | r^2+5r= | | 10(u+5)=100 | | 5(q-10)=50 | | 3y+x-2+4x+10=180 | | 2(e+2)=12 | | s^3+9*s^2+26*s+24=0 | | 20t^2-4t^4= | | 10z+12=8z | | 15x-15=x+9 | | 3log=1.5 | | 4w^2+25w+36= | | s(s+7)(s+9)(s+10)(s+15)=0 | | (u-6)(u+4)=-21 | | 32-98n^2=0 | | 6c+4=-3c-14 | | 900=5[x+(x+14)] | | 20(s+2)(s+3)(s+6)(s+8)=0 | | -30=-2x-15 | | C^2+4-45= | | 8x+4y=180 | | x/4-=8 | | 0.9354=638*X+1.087 | | 900=5[x(x+14)] | | a=2pi(6)(14) | | 7x-5+2x=4 | | x^2+8x+3y+13=0 | | 11x+3y=1 | | 7x+-13x=-1+23 | | 3+tan^2x=5tanx | | 4(-2/3) | | h=3.5 |

Equations solver categories