(3x+1)(-2x+7)=3x+1

Simple and best practice solution for (3x+1)(-2x+7)=3x+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 (3x+1)(-2x+7)=3x+1 equation: 


Simplifying
(3x + 1)(-2x + 7) = 3x + 1

Reorder the terms:
(1 + 3x)(-2x + 7) = 3x + 1

Reorder the terms:
(1 + 3x)(7 + -2x) = 3x + 1

Multiply (1 + 3x) * (7 + -2x)
(1(7 + -2x) + 3x * (7 + -2x)) = 3x + 1
((7 * 1 + -2x * 1) + 3x * (7 + -2x)) = 3x + 1
((7 + -2x) + 3x * (7 + -2x)) = 3x + 1
(7 + -2x + (7 * 3x + -2x * 3x)) = 3x + 1
(7 + -2x + (21x + -6x2)) = 3x + 1

Combine like terms: -2x + 21x = 19x
(7 + 19x + -6x2) = 3x + 1

Reorder the terms:
7 + 19x + -6x2 = 1 + 3x

Solving
7 + 19x + -6x2 = 1 + 3x

Solving for variable 'x'.

Reorder the terms:
7 + -1 + 19x + -3x + -6x2 = 1 + 3x + -1 + -3x

Combine like terms: 7 + -1 = 6
6 + 19x + -3x + -6x2 = 1 + 3x + -1 + -3x

Combine like terms: 19x + -3x = 16x
6 + 16x + -6x2 = 1 + 3x + -1 + -3x

Reorder the terms:
6 + 16x + -6x2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
6 + 16x + -6x2 = 0 + 3x + -3x
6 + 16x + -6x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 16x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 8x + -3x2) = 0

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

Ignore the factor 2.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, -0.3333333333}

See similar equations:

| 8(x-2)=-2x+14 | | 5(2x+3)=46 | | 6x^2+2=11111 | | 0.40x+0.30(30)=0.20(125) | | 4(x+1)-1=23 | | 5(y-7)=-6y+31 | | 7x-19=3x-7 | | 5(2y+10)=90 | | 27x-32y=1 | | 4x-18=2x-6 | | 2x+y-3z=4 | | 8=-8u+5(u+7) | | 2(y-3)-7y=4 | | 4(k+1)+3=19 | | 2=4(x+8)+2x | | -12d+9d+-18=12 | | 5x+2x+5= | | 10X^2-6x+80=0 | | 120=3x+12*x+2 | | 4+x+(x+4)=33 | | x^2+12x=-x | | 6x+9=5-(4x-7) | | 12.88-0.88(x+0.45)=0.25x+2(x-3.17) | | D-e=10 | | -7q+-13q=-20 | | 6m+4=20-2g | | Q+6p=70 | | X^6x= | | 4n-3n=8 | | -13a-2a=15 | | p^2+10p-21=0 | | -17f-13=-16f |

Equations solver categories