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

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


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

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

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

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

Combine like terms: -21x + 40x = 19x
(-24 + 19x + 35x2) = 0

Solving
-24 + 19x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(3 + -5x) = 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 '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-1.142857143, 0.6}

See similar equations:

| 0.3m+4=9.6 | | -2u^2-9u-10=0 | | 7-(8/9)=9 | | 12n=76 | | 125m-100m+33250=35350-150m | | -2.6q-33.7=84.1 | | 4/(x+7)=2/(x-2) | | -2/3x=-1/4 | | -(9/x^2)=0 | | 8/6/8= | | x^2-x+24=0 | | 3/x+5=2x/x^2-8 | | -4-1.2=0.8 | | -1/2(14x-8y) | | 64X*64X-1=0 | | 1/9=m/18 | | -(3/4)(12x-8)=-18 | | 32+9x=-7(4x-6) | | 4x+12=2x-18 | | 4/6=d/18 | | 11r/f | | -(2/3)(6x-27)=-4 | | 4d+4d-2d-2d+1=0 | | In(x+1)-In(x)=1 | | 15x-27= | | 1.75*0.25= | | 3n+7-n-3= | | -2(y+6)=y | | n+7n+15+15=5 | | 7500/30000 | | 5x^4-x^5=0 | | X^3-6x^2+25x+150=0 |

Equations solver categories