(3x+4)(x-5)=12x+16

Simple and best practice solution for (3x+4)(x-5)=12x+16 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)(x-5)=12x+16 equation: 


Simplifying
(3x + 4)(x + -5) = 12x + 16

Reorder the terms:
(4 + 3x)(x + -5) = 12x + 16

Reorder the terms:
(4 + 3x)(-5 + x) = 12x + 16

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

Combine like terms: 4x + -15x = -11x
(-20 + -11x + 3x2) = 12x + 16

Reorder the terms:
-20 + -11x + 3x2 = 16 + 12x

Solving
-20 + -11x + 3x2 = 16 + 12x

Solving for variable 'x'.

Reorder the terms:
-20 + -16 + -11x + -12x + 3x2 = 16 + 12x + -16 + -12x

Combine like terms: -20 + -16 = -36
-36 + -11x + -12x + 3x2 = 16 + 12x + -16 + -12x

Combine like terms: -11x + -12x = -23x
-36 + -23x + 3x2 = 16 + 12x + -16 + -12x

Reorder the terms:
-36 + -23x + 3x2 = 16 + -16 + 12x + -12x

Combine like terms: 16 + -16 = 0
-36 + -23x + 3x2 = 0 + 12x + -12x
-36 + -23x + 3x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-36 + -23x + 3x2 = 0

Factor a trinomial.
(-4 + -3x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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 = {-1.333333333, 9}

See similar equations:

| 5e^4x=500 | | 4x^2-26x=-6 | | -2(3m+5n-2p)= | | 2(x-5)+3x=5(x-2) | | -4x-2y=52 | | 9.6-(-1.4)+10= | | 20x+15=17x+13 | | -w+9=21 | | f(x)=(9-3y)/18 | | -3x-4=-3x+2 | | 4=0.6w-4 | | 17+8x=-3x+2(3x+6) | | 1.5(2x-6)=-6 | | 12c-4=14c-10 | | 4/2d-18-3d=32 | | 1.5x+8=10 | | -v-15=-27 | | 19+4h=1-5h | | 2x+14=-5x-35 | | 2j-3j+5=5 | | 8-3y=-22 | | =6-5p-2p^4+p+3p^3+7p^4 | | 3c+5-2c=12 | | -i+5+2i+6=12 | | 14x-1=29x+14 | | 3+4m=15-2m | | 4k-4k+2k=20 | | 2x^3-3x^2-24x+36=0 | | (6-5p-2p^4)-(p-3p^3-7p^4)= | | 3+4m=15-2 | | 2z+3-8=-18 | | 4m-29=-105 |

Equations solver categories