(3x+4)(x-1)=48

Simple and best practice solution for (3x+4)(x-1)=48 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-1)=48 equation: 


Simplifying
(3x + 4)(x + -1) = 48

Reorder the terms:
(4 + 3x)(x + -1) = 48

Reorder the terms:
(4 + 3x)(-1 + x) = 48

Multiply (4 + 3x) * (-1 + x)
(4(-1 + x) + 3x * (-1 + x)) = 48
((-1 * 4 + x * 4) + 3x * (-1 + x)) = 48
((-4 + 4x) + 3x * (-1 + x)) = 48
(-4 + 4x + (-1 * 3x + x * 3x)) = 48
(-4 + 4x + (-3x + 3x2)) = 48

Combine like terms: 4x + -3x = 1x
(-4 + 1x + 3x2) = 48

Solving
-4 + 1x + 3x2 = 48

Solving for variable 'x'.

Reorder the terms:
-4 + -48 + 1x + 3x2 = 48 + -48

Combine like terms: -4 + -48 = -52
-52 + 1x + 3x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-52 + 1x + 3x2 = 0

Factor a trinomial.
(-13 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve:

Simplifying
-13 + -3x = 0

Solving
-13 + -3x = 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 + -3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 0 + 13
-3x = 0 + 13

Combine like terms: 0 + 13 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-4.333333333, 4}

See similar equations:

| 3x^3+x-52=0 | | d^2+0.403d-0.2845=0 | | 10y+3=4y | | 3-4y=-5 | | 1/4(10x-7)=4 | | 5x-12=-60 | | 1/3*3.14*4*4 | | x-4(1)=-5 | | 2=-x+2 | | 2=6-3x | | 9a-7b+3a-2b= | | 2=(-x)(-x)(-x)-8 | | -52-3x=11x-10x | | 130-4x=4x+15 | | -4=-16-4x | | 5k-10=5 | | -4=(x+4)(x+4) | | X/4-5=7 | | 8n-10=4n+2 | | y=1.70(5)+3.93 | | 8w+14-5w=23 | | 4v+9=5v-6 | | 4f^2-18f=10 | | y=1.18(5)+2.04 | | 7y=6(y+8) | | 8(c-1)=7(3+c) | | -8(y+6)=-9y | | 7x+2x=8x-2 | | 2z-2=6 | | y+4(y-1)=9-2(y-3) | | 6a+18= | | -6=8+x |

Equations solver categories