(-3x+5)(2x-16)=0

Simple and best practice solution for (-3x+5)(2x-16)=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)(2x-16)=0 equation: 


Simplifying
(-3x + 5)(2x + -16) = 0

Reorder the terms:
(5 + -3x)(2x + -16) = 0

Reorder the terms:
(5 + -3x)(-16 + 2x) = 0

Multiply (5 + -3x) * (-16 + 2x)
(5(-16 + 2x) + -3x * (-16 + 2x)) = 0
((-16 * 5 + 2x * 5) + -3x * (-16 + 2x)) = 0
((-80 + 10x) + -3x * (-16 + 2x)) = 0
(-80 + 10x + (-16 * -3x + 2x * -3x)) = 0
(-80 + 10x + (48x + -6x2)) = 0

Combine like terms: 10x + 48x = 58x
(-80 + 58x + -6x2) = 0

Solving
-80 + 58x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + 29x + -3x2) = 0

Factor a trinomial.
2((-8 + x)(5 + -3x)) = 0

Ignore the factor 2.

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

Simplifying
-8 + x = 0

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

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

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

Simplifying
x = 8

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 = {8, 1.666666667}

See similar equations:

| 2x^2-kx-4=0 | | 5x^2+kx-4=0 | | 7/5=9/n | | 8a-(3+2a)= | | F(x)=x^2+4+4 | | -5-6+5= | | y=f(9) | | 3x-2yi=6i | | N/4=7/6 | | (8/9)x=14 | | 2x+2=2(x+6) | | 9x^2-24x= | | 2x^3=5000 | | 3(4z-6)+8(3z+4)= | | 10x+30y=90 | | x/2-12=-10 | | -5/2=-8/3v-3/4 | | 2u^2+13u+11= | | -5=-8/3v-3/4 | | ((y^3)(x^−1/5))^3/4 | | -8t^2+24t=0 | | (X)2+(-4x)2=153 | | -2.4=y+6.5 | | x^2(x-8)+12(x-8)= | | 8y-9(5y-16)= | | f+17=1.48 | | -2+2=16 | | 185=5(-7+5k) | | r^2+5r+3=8 | | N+(n+1)=181 | | -3r=18.09 | | 108=4(6x-3) |

Equations solver categories