(3x-4)(-5+4x)=81x-(2x-2)

Simple and best practice solution for (3x-4)(-5+4x)=81x-(2x-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-4)(-5+4x)=81x-(2x-2) equation: 


Simplifying
(3x + -4)(-5 + 4x) = 81x + -1(2x + -2)

Reorder the terms:
(-4 + 3x)(-5 + 4x) = 81x + -1(2x + -2)

Multiply (-4 + 3x) * (-5 + 4x)
(-4(-5 + 4x) + 3x * (-5 + 4x)) = 81x + -1(2x + -2)
((-5 * -4 + 4x * -4) + 3x * (-5 + 4x)) = 81x + -1(2x + -2)
((20 + -16x) + 3x * (-5 + 4x)) = 81x + -1(2x + -2)
(20 + -16x + (-5 * 3x + 4x * 3x)) = 81x + -1(2x + -2)
(20 + -16x + (-15x + 12x2)) = 81x + -1(2x + -2)

Combine like terms: -16x + -15x = -31x
(20 + -31x + 12x2) = 81x + -1(2x + -2)

Reorder the terms:
20 + -31x + 12x2 = 81x + -1(-2 + 2x)
20 + -31x + 12x2 = 81x + (-2 * -1 + 2x * -1)
20 + -31x + 12x2 = 81x + (2 + -2x)

Reorder the terms:
20 + -31x + 12x2 = 2 + 81x + -2x

Combine like terms: 81x + -2x = 79x
20 + -31x + 12x2 = 2 + 79x

Solving
20 + -31x + 12x2 = 2 + 79x

Solving for variable 'x'.

Reorder the terms:
20 + -2 + -31x + -79x + 12x2 = 2 + 79x + -2 + -79x

Combine like terms: 20 + -2 = 18
18 + -31x + -79x + 12x2 = 2 + 79x + -2 + -79x

Combine like terms: -31x + -79x = -110x
18 + -110x + 12x2 = 2 + 79x + -2 + -79x

Reorder the terms:
18 + -110x + 12x2 = 2 + -2 + 79x + -79x

Combine like terms: 2 + -2 = 0
18 + -110x + 12x2 = 0 + 79x + -79x
18 + -110x + 12x2 = 79x + -79x

Combine like terms: 79x + -79x = 0
18 + -110x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -55x + 6x2) = 0

Factor a trinomial.
2((1 + -6x)(9 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0.1666666667, 9}

See similar equations:

| 12+b=6-2b | | x^2-3xy-4y^2= | | x^2-5xy-6y^2= | | 6(3+c)=5(c-3) | | 4x^2+40x+36= | | 649-x=484 | | -5x-5x=26-6 | | (8s-3)-4(2-3s)=0 | | 649-x=254 | | 4(w-3)=12 | | 3x-3=4x+7 | | 32=12y-8y | | 3t^2-37x+90=0 | | x*.7=105 | | 10w-13w=15 | | 649-x=383 | | 649-x=268 | | 3(z-4)= | | 649-x=382 | | 3z-3=4z | | 9x+14=-166 | | f=ws | | 5x+10=-75 | | 11.75=x-48 | | y^2+11y=0 | | 7w-10w=12 | | 166=2(x+21) | | -h+17=8+9h | | 6(3+c)=(c-6) | | 649-x=411 | | (-2)(-9)= | | 649-x=279 |

Equations solver categories