(3x-4)(4x+1)=10

Simple and best practice solution for (3x-4)(4x+1)=10 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)(4x+1)=10 equation: 


Simplifying
(3x + -4)(4x + 1) = 10

Reorder the terms:
(-4 + 3x)(4x + 1) = 10

Reorder the terms:
(-4 + 3x)(1 + 4x) = 10

Multiply (-4 + 3x) * (1 + 4x)
(-4(1 + 4x) + 3x * (1 + 4x)) = 10
((1 * -4 + 4x * -4) + 3x * (1 + 4x)) = 10
((-4 + -16x) + 3x * (1 + 4x)) = 10
(-4 + -16x + (1 * 3x + 4x * 3x)) = 10
(-4 + -16x + (3x + 12x2)) = 10

Combine like terms: -16x + 3x = -13x
(-4 + -13x + 12x2) = 10

Solving
-4 + -13x + 12x2 = 10

Solving for variable 'x'.

Reorder the terms:
-4 + -10 + -13x + 12x2 = 10 + -10

Combine like terms: -4 + -10 = -14
-14 + -13x + 12x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-14 + -13x + 12x2 = 0

Factor a trinomial.
(-2 + -3x)(7 + -4x) = 0


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-0.6666666667, 1.75}

See similar equations:

| 4v^2+28vf+49f^2=0 | | X-13=-2 | | 25m^2-80m+64=0 | | 2(4x+5)=16 | | y=sx+f | | 4(x-4)= | | 2x+(2x-1)=11 | | 3(x+2)+x=30 | | x(12x+5)=2 | | x(x+9)=-14 | | 9x+6+9x=9 | | 5(x-2)+4=-6 | | 2X=9X | | (x-5)(2x+5)=-22 | | 245s^2-180=0 | | x(6x+29)=-28 | | 5(3x+2)=29 | | 3(x+1)=-12 | | 5(x-5)= | | (x+8)(x+8)=1 | | 3X^4+9x^3-54x^2=0 | | 3x+1-2x=2-3x+5 | | (2x-1)(5x+2)=1 | | 16x^2+32x-4y^2+24y=84 | | (x+7)(x-6)=-12 | | 7x+3=2-(5x-8) | | x+(x+1)=43 | | -2.5*-2= | | x(x-1)=30 | | 2n^2+8n+1=0 | | x(x+7)=18 | | 2y^4+3y^3-16y^2+15y-4=0 |

Equations solver categories