(4x+1)(3x-11)=0

Simple and best practice solution for (4x+1)(3x-11)=0 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+1)(3x-11)=0 equation: 


Simplifying
(4x + 1)(3x + -11) = 0

Reorder the terms:
(1 + 4x)(3x + -11) = 0

Reorder the terms:
(1 + 4x)(-11 + 3x) = 0

Multiply (1 + 4x) * (-11 + 3x)
(1(-11 + 3x) + 4x * (-11 + 3x)) = 0
((-11 * 1 + 3x * 1) + 4x * (-11 + 3x)) = 0
((-11 + 3x) + 4x * (-11 + 3x)) = 0
(-11 + 3x + (-11 * 4x + 3x * 4x)) = 0
(-11 + 3x + (-44x + 12x2)) = 0

Combine like terms: 3x + -44x = -41x
(-11 + -41x + 12x2) = 0

Solving
-11 + -41x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -4x)(11 + -3x) = 0


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

Simplifying
-1 + -4x = 0

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

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

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {-0.25, 3.666666667}

See similar equations:

| 48=11x+26 | | -12x+3y=36 | | 7x+14=x+14 | | 3+5f=53 | | 3w-4x= | | 2h+6+4h=18 | | -2(1-y)=8+4(x-3) | | 4x(5x-1)=0 | | y^5-6y^3+2y^2+9y-6=0 | | -4+12x+9x^2= | | [9(M+4)-19]-[2(M-4)+3]= | | 2m-6=8m | | 3(4m-6)=18 | | x+4(x-6)=2(x-2)-23 | | 36x^2+48x-16= | | 20x+16-27=5x-1 | | .5(x-2)=9 | | 7x-84=3x | | x^3+4x^2+8x=0 | | 4+2(x+5)=-2 | | 2-(4x+7)=4(x-1) | | X-15=23 | | 16b^2-40b+25= | | 3a+2b=6 | | 17=x+1 | | (2x-5)*(x^2-3x+2)=0 | | ln(x-1)=ln(x+5) | | 3c=2(c-1) | | 2(7s+9)-8s=2(3s+2)-6 | | -1(y)-1=(3x+2) | | 12(x+2)=3(4x+3)+15 | | 1/4(x-8)+1/2(x+2)=x-3 |

Equations solver categories