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

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


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

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

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

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

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

Solving
10 + -19x + 6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {0.6666666667, 2.5}

See similar equations:

| 20z=100 | | 9x+10x=21 | | 4(x+7)=52 | | m^2-20m-14=0 | | 15xx+14x=8 | | 9(4x-1)=27 | | 6x^2+17x=0 | | 5x-3-7x=15-x | | 16x^2-8x-24=0 | | 3a+5=2a+15 | | 9(2n-5)= | | 3X^4+48x^2=0 | | 3-x+4=56+8x | | x=x-31+31 | | 4x-(7+x)=14 | | 14-(2q+5)=-2(4x-7) | | -25(10-x)=25x | | 6x+8-2x=10-11x-12 | | 10=6n+4n | | 10+7x=2+5x+2x | | 4-5-2x=87x-20 | | 4f-23+4f=-8 | | lg(6-x)=2lgx | | -6(s+11)=24 | | 4x+.5(8x+6)=2(4x+3) | | x^2-8x-80=0 | | -4=.5p-7 | | x-34=5(1+8x) | | 1.78=890*r*6 | | 9x+32=x | | 40=X+4X | | k/5+5=4/5 |

Equations solver categories