(3-4x)(2+3x)=1+5x

Simple and best practice solution for (3-4x)(2+3x)=1+5x 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 (3-4x)(2+3x)=1+5x equation: 


Simplifying
(3 + -4x)(2 + 3x) = 1 + 5x

Multiply (3 + -4x) * (2 + 3x)
(3(2 + 3x) + -4x * (2 + 3x)) = 1 + 5x
((2 * 3 + 3x * 3) + -4x * (2 + 3x)) = 1 + 5x
((6 + 9x) + -4x * (2 + 3x)) = 1 + 5x
(6 + 9x + (2 * -4x + 3x * -4x)) = 1 + 5x
(6 + 9x + (-8x + -12x2)) = 1 + 5x

Combine like terms: 9x + -8x = 1x
(6 + 1x + -12x2) = 1 + 5x

Solving
6 + 1x + -12x2 = 1 + 5x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + 1x + -5x + -12x2 = 1 + 5x + -1 + -5x

Combine like terms: 6 + -1 = 5
5 + 1x + -5x + -12x2 = 1 + 5x + -1 + -5x

Combine like terms: 1x + -5x = -4x
5 + -4x + -12x2 = 1 + 5x + -1 + -5x

Reorder the terms:
5 + -4x + -12x2 = 1 + -1 + 5x + -5x

Combine like terms: 1 + -1 = 0
5 + -4x + -12x2 = 0 + 5x + -5x
5 + -4x + -12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -4x + -12x2 = 0

Factor a trinomial.
(1 + -2x)(5 + 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 '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {0.5, -0.8333333333}

See similar equations:

| 1/3×15 | | 8ac-2ad+4bc-bd=0 | | 1*1/4*4/5 | | k*2=289 | | 1/4(x-2)=1/5(x-1) | | 2m^3p^2-16mp^2+8mp=0 | | x*x+7*x*x-5= | | 7(x-4)(x+4)= | | 11x+10=3x-2x | | -2(-8v+7)-7v=3(v-5)-8 | | 4(u+2)+2=2(u+6) | | 8-2x*10-2x*x= | | 0.5=d/10 | | 14x/6=12x/9 | | 9c+8d-7*4c-6d= | | 31w/0.7 | | gu-9u=6(-2)+u | | -3x+13=79 | | 5(-9)+6-3(-9)=-12 | | 2.5=b/15 | | 324=(x+8)(x+8) | | X/2-23=26 | | logx^2=-2 | | 10xy-x^2-460y-2y^2=0 | | sin((pi/3)x) | | -9x-25=38 | | 144=9+(2x-17)9 | | 0.08(x+4)=0.04(2x+7)+0.04 | | 6x+6y-9+54x-72y= | | 2.2=c/14 | | 3/(-3) | | -11(y+2)+4(4y-3)=4(y-4)+13 |

Equations solver categories