(4x-5)(3x+8)=13x

Simple and best practice solution for (4x-5)(3x+8)=13x 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 (4x-5)(3x+8)=13x equation: 


Simplifying
(4x + -5)(3x + 8) = 13x

Reorder the terms:
(-5 + 4x)(3x + 8) = 13x

Reorder the terms:
(-5 + 4x)(8 + 3x) = 13x

Multiply (-5 + 4x) * (8 + 3x)
(-5(8 + 3x) + 4x * (8 + 3x)) = 13x
((8 * -5 + 3x * -5) + 4x * (8 + 3x)) = 13x
((-40 + -15x) + 4x * (8 + 3x)) = 13x
(-40 + -15x + (8 * 4x + 3x * 4x)) = 13x
(-40 + -15x + (32x + 12x2)) = 13x

Combine like terms: -15x + 32x = 17x
(-40 + 17x + 12x2) = 13x

Solving
-40 + 17x + 12x2 = 13x

Solving for variable 'x'.

Reorder the terms:
-40 + 17x + -13x + 12x2 = 13x + -13x

Combine like terms: 17x + -13x = 4x
-40 + 4x + 12x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
-40 + 4x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + x + 3x2) = 0

Factor a trinomial.
4((-2 + -1x)(5 + -3x)) = 0

Ignore the factor 4.

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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-2, 1.666666667}

See similar equations:

| -32=-16+8y | | X/4+1/9 | | 4x^2-36x+80=63 | | 2.75=d/96 | | x/4-22=-15 | | 5[2-2x+4]=10-6x | | 2(x/4+3) | | 3.5y-3.5=10.5 | | 4/3x+1=17 | | -y/3=15 | | x/2-6=-14 | | x/3+4=x/3 | | (12x^5/4x^3) | | 6=x/7-11 | | 840p-2=1000 | | -24+-36=x | | -24+-12=x | | -1=r-6r^2 | | -24+-12= | | y-12=-7-4 | | x-8=2x-3 | | 3[2-4y-4]=6y+24 | | -24x+x=-12 | | 4x+3(175/x)=100 | | 14.184-7(2x+5)=301+6(x-1)-6 | | 9x+8+7x+7=19 | | 16x+9=180 | | 30b^6/2b^3 | | 1/2*2/5=9/10 | | -1/x-7=5/x-1 | | x=.45(80) | | 7x/5=5+2x/5 |

Equations solver categories