(6x-13)(2x+1)=

Simple and best practice solution for (6x-13)(2x+1)= 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 (6x-13)(2x+1)= equation: 


Simplifying
(6x + -13)(2x + 1) = 0

Reorder the terms:
(-13 + 6x)(2x + 1) = 0

Reorder the terms:
(-13 + 6x)(1 + 2x) = 0

Multiply (-13 + 6x) * (1 + 2x)
(-13(1 + 2x) + 6x * (1 + 2x)) = 0
((1 * -13 + 2x * -13) + 6x * (1 + 2x)) = 0
((-13 + -26x) + 6x * (1 + 2x)) = 0
(-13 + -26x + (1 * 6x + 2x * 6x)) = 0
(-13 + -26x + (6x + 12x2)) = 0

Combine like terms: -26x + 6x = -20x
(-13 + -20x + 12x2) = 0

Solving
-13 + -20x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(13 + -6x) = 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 '(13 + -6x)' equal to zero and attempt to solve:

Simplifying
13 + -6x = 0

Solving
13 + -6x = 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 + -6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 0 + -13
-6x = 0 + -13

Combine like terms: 0 + -13 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667
Solution
x = {-0.5, 2.166666667}

See similar equations:

| x+y=5.3 | | 7(8-6)2= | | (11/8)-(2/3) | | 3.4m+8=4.9-5.3m | | -193f=-82 | | -193f=82 | | f(x)=x^3-4x^2+25x-100 | | 126=d+0.5d | | -27(4/7)f=9(1/9) | | 10+6w= | | 6x-2=-4-2x | | 5.8-3.6= | | (5+A)+A=100 | | (-7)=6-(9-b) | | 89x=100y | | (-4a)+3+5a=10-18 | | 7x-4y=-18 | | 21-3x=9-(24) | | 12/40=x/3000 | | 5x+24=44 | | (u-1)(u-1)=2u^2+u-17 | | (x-3)(x-3)=2x^2-2x-12 | | 3y-23-6y+37= | | 0.3-0.07+0.6-0.03= | | 1.8/x=1.28 | | 4cos^2x-4cos=2 | | 120=x+0.15x | | 9(12w+5)= | | 17.07-7.98= | | (y+6)(y+6)=2y^2+13y+6 | | f(x)=x^3-3x^2-33x+35 | | 14(5z^2)= |

Equations solver categories