(3x-5)(7x+8)=0

Simple and best practice solution for (3x-5)(7x+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 (3x-5)(7x+8)=0 equation: 


Simplifying
(3x + -5)(7x + 8) = 0

Reorder the terms:
(-5 + 3x)(7x + 8) = 0

Reorder the terms:
(-5 + 3x)(8 + 7x) = 0

Multiply (-5 + 3x) * (8 + 7x)
(-5(8 + 7x) + 3x * (8 + 7x)) = 0
((8 * -5 + 7x * -5) + 3x * (8 + 7x)) = 0
((-40 + -35x) + 3x * (8 + 7x)) = 0
(-40 + -35x + (8 * 3x + 7x * 3x)) = 0
(-40 + -35x + (24x + 21x2)) = 0

Combine like terms: -35x + 24x = -11x
(-40 + -11x + 21x2) = 0

Solving
-40 + -11x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-1.142857143, 1.666666667}

See similar equations:

| 8x+10-7x=12 | | 2y-10=150 | | 4v+17-9v= | | -5(3-x)+4=5x-11 | | 7y-11=5y+23 | | 28x=180 | | 9x-5x-2x=10 | | 4x^2=-16 | | 2x+(8x-13)=47 | | 5(2y)+4=4200 | | 2n-4n=16 | | 6x+6x=12x | | 27y+5y(7y-6)= | | 4y+5x=45c | | 4k^2-20k+9=0 | | 7x-(6x+8)=-4 | | 5(2y)+4=3360 | | 3z=16-19 | | 12x=180 | | -3y+7=-4y+2 | | -7.6-9y-6.5+4.7y= | | 0.05x+0.04y=168 | | 3n+18-n=38 | | -t=110 | | 6a=4-b | | 16x+4=20x^2+5x | | -2[9-(x+7)]= | | -8(3b+2)+(25b-4)=0 | | (5b)(-3a)= | | -8y-10x=44 | | 0=42x^2+13x-42 | | -0.3g-4.2+6.1g-0.9= |

Equations solver categories