(3x+4)(x+1)=2

Simple and best practice solution for (3x+4)(x+1)=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)(x+1)=2 equation:


Simplifying
(3x + 4)(x + 1) = 2

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

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

Multiply (4 + 3x) * (1 + x)
(4(1 + x) + 3x * (1 + x)) = 2
((1 * 4 + x * 4) + 3x * (1 + x)) = 2
((4 + 4x) + 3x * (1 + x)) = 2
(4 + 4x + (1 * 3x + x * 3x)) = 2
(4 + 4x + (3x + 3x2)) = 2

Combine like terms: 4x + 3x = 7x
(4 + 7x + 3x2) = 2

Solving
4 + 7x + 3x2 = 2

Solving for variable 'x'.

Reorder the terms:
4 + -2 + 7x + 3x2 = 2 + -2

Combine like terms: 4 + -2 = 2
2 + 7x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
2 + 7x + 3x2 = 0

Factor a trinomial.
(2 + x)(1 + 3x) = 0

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-2, -0.3333333333}

See similar equations:

| 0=(2x-5)(x+1)(x-3) | | 12a^2-4a-40=0 | | 3x^6-7x^2+5=0 | | 3x+4x+1=2 | | 8x^3+6x^2-17x+6=0 | | 58=2x-10 | | 16r^2+2r-5=0 | | 0=14x^4-x^2+49 | | -7p-10=-8-7x-6 | | 3y-13=5 | | .75x+.67=.875 | | 3-3n=-12 | | (x^2)=-1 | | f(x)=2x^2-12x+16 | | 0=x^4-1 | | .05x+x=1837000 | | 4x+5y+6z+7w=-5 | | 10x-30=535 | | 49w^2+12=0 | | 3x-4(x-3)=3x-3(2-x) | | Z=5z+-16 | | -.5x=-4.3 | | -3+17=-2(7x) | | 2x+10=3x-24 | | 25y+3=5-y | | 40+2(x+3)=8+3(2x+5) | | Z+7=5z+(-9) | | -lgx=2 | | 4(x+1)-2(3x+4)=-2(x-2) | | 0=16t^2-1444 | | 129000=.86x | | 12*1.3= |

Equations solver categories