(3x-13)(x-2)=

Simple and best practice solution for (3x-13)(x-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 (3x-13)(x-2)= equation: 


Simplifying
(3x + -13)(x + -2) = 0

Reorder the terms:
(-13 + 3x)(x + -2) = 0

Reorder the terms:
(-13 + 3x)(-2 + x) = 0

Multiply (-13 + 3x) * (-2 + x)
(-13(-2 + x) + 3x * (-2 + x)) = 0
((-2 * -13 + x * -13) + 3x * (-2 + x)) = 0
((26 + -13x) + 3x * (-2 + x)) = 0
(26 + -13x + (-2 * 3x + x * 3x)) = 0
(26 + -13x + (-6x + 3x2)) = 0

Combine like terms: -13x + -6x = -19x
(26 + -19x + 3x2) = 0

Solving
26 + -19x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(13 + -3x) = 0


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

Simplifying
2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve:

Simplifying
13 + -3x = 0

Solving
13 + -3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 0 + -13
-3x = 0 + -13

Combine like terms: 0 + -13 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333
Solution
x = {2, 4.333333333}

See similar equations:

| 3(2x+4)=1-13 | | y-0.17y= | | 12c+18=4+5 | | (x+7)*3-6=2x | | (9x-5y+4z)-(7x+8y-2z+3)= | | k-2+9=30 | | -3(X-4)+2=23 | | 4g^2+5g=0 | | w^2+7w-12=0 | | -64x^4+128x^3-80x^2+16x=0 | | 2h+7=75 | | 6(x+9)=4(x-5) | | (v^3-6v^4+3)+(7v+7+6v^3)=0 | | 5x^3-50x^2+125x=0 | | 15x=24x-8+2 | | (7x+12)=x | | 5q^2-6q=0 | | 5x-31=37+x | | x+(1.4x)=693.70 | | 3x=-13x+7 | | 2+2x=-4 | | x-23=-56 | | D-(1/5)=(3/5) | | 9(x+6m+3)= | | -3x^3+10x^2+6x-3=0 | | -4q+8=-3q | | -13x+7=3x | | -5-5r=9-7r | | x^2+-3x+-108=0 | | -7p=-4p-9 | | -2y=-7x+14 | | y=3xy-2x |

Equations solver categories