(2x-1)(3x+1)=17x-1

Simple and best practice solution for (2x-1)(3x+1)=17x-1 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 (2x-1)(3x+1)=17x-1 equation:


Simplifying
(2x + -1)(3x + 1) = 17x + -1

Reorder the terms:
(-1 + 2x)(3x + 1) = 17x + -1

Reorder the terms:
(-1 + 2x)(1 + 3x) = 17x + -1

Multiply (-1 + 2x) * (1 + 3x)
(-1(1 + 3x) + 2x * (1 + 3x)) = 17x + -1
((1 * -1 + 3x * -1) + 2x * (1 + 3x)) = 17x + -1
((-1 + -3x) + 2x * (1 + 3x)) = 17x + -1
(-1 + -3x + (1 * 2x + 3x * 2x)) = 17x + -1
(-1 + -3x + (2x + 6x2)) = 17x + -1

Combine like terms: -3x + 2x = -1x
(-1 + -1x + 6x2) = 17x + -1

Reorder the terms:
-1 + -1x + 6x2 = -1 + 17x

Add '1' to each side of the equation.
-1 + -1x + 1 + 6x2 = -1 + 1 + 17x

Reorder the terms:
-1 + 1 + -1x + 6x2 = -1 + 1 + 17x

Combine like terms: -1 + 1 = 0
0 + -1x + 6x2 = -1 + 1 + 17x
-1x + 6x2 = -1 + 1 + 17x

Combine like terms: -1 + 1 = 0
-1x + 6x2 = 0 + 17x
-1x + 6x2 = 17x

Solving
-1x + 6x2 = 17x

Solving for variable 'x'.

Reorder the terms:
-1x + -17x + 6x2 = 17x + -17x

Combine like terms: -1x + -17x = -18x
-18x + 6x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
-18x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-3 + x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {0, 3}

See similar equations:

| X^2+22x+99=0 | | 3k^2-22k+72=0 | | 1-6y=6-7y | | x^2+6x+8x+48=160 | | (x-2/3)-21x | | 2x-8forx=-4 | | 7r+4=34r+2 | | ((x-2)/3)-21x | | 6m=2(5m+4) | | (x-2)/3-21x | | 1/2(k-7)=3 | | 105x+490=350x-735 | | (Y^2+31)+(8y-4)=180 | | (6m-11)(4m-6)=0 | | x^5y^5-x^2y^2=0 | | x^2-84x+396=0 | | (4x/5b)(25bx/2x^4) | | X+9+24=64 | | 6(3x-12)=24x+8 | | B=(50e)+31 | | 3(-x+2)-(6x+4)=x-2-21x | | 53.72/6 | | 8m+5-4=2m+5 | | -25h=100 | | 1.0p=5.04 | | 1-9n=-46 | | f(1/8)=2(5)^x | | -20=-120-f | | 120y^2+4y-4=0 | | 360=30d | | 23.89-3n=14.02 | | x^2-4x+-1=0 |

Equations solver categories