(7x-1)(3x+8)=0

Simple and best practice solution for (7x-1)(3x+8)=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 (7x-1)(3x+8)=0 equation: 


Simplifying
(7x + -1)(3x + 8) = 0

Reorder the terms:
(-1 + 7x)(3x + 8) = 0

Reorder the terms:
(-1 + 7x)(8 + 3x) = 0

Multiply (-1 + 7x) * (8 + 3x)
(-1(8 + 3x) + 7x * (8 + 3x)) = 0
((8 * -1 + 3x * -1) + 7x * (8 + 3x)) = 0
((-8 + -3x) + 7x * (8 + 3x)) = 0
(-8 + -3x + (8 * 7x + 3x * 7x)) = 0
(-8 + -3x + (56x + 21x2)) = 0

Combine like terms: -3x + 56x = 53x
(-8 + 53x + 21x2) = 0

Solving
-8 + 53x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(1 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
Solution
x = {-2.666666667, 0.1428571429}

See similar equations:

| 5r-26=9 | | (-6y)-3=3-6y | | X=75 | | x^2+4x=26 | | 18w-10=-9w-15 | | 3p+24=-9 | | 2x-4=ax+b | | Y=8(y+4)-4 | | 5p-5=10 | | -2z+-7=-17 | | -30=-9x+-3 | | (2x-5)=x^2-27x+31 | | 3o-7=20 | | 2.3y=-30.7 | | -7(x+9)-5=-68 | | 3n+37=1 | | 17-8x=-39 | | 2x-9=x+12 | | 7y=3x-2 | | 6(x+2)=2(3x+1)+10 | | 2(2w-3)+2w=30 | | 8m-9=-25 | | 4x-9(15+1)=20-5(15) | | -23.882=-5.6-7.34x-1.4 | | 615=205t | | 2x+3y+5x+8y= | | 4+3(y-8)=y+3y | | -18+5x=17x | | 4x+24=4.6x | | 8(2t+1)-(t-9)=52-8t | | 8(x-1)=(3x+7) | | 6L+49=7 |

Equations solver categories