(4+5x)(4-6x)=0

Simple and best practice solution for (4+5x)(4-6x)=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 (4+5x)(4-6x)=0 equation: 


Simplifying
(4 + 5x)(4 + -6x) = 0

Multiply (4 + 5x) * (4 + -6x)
(4(4 + -6x) + 5x * (4 + -6x)) = 0
((4 * 4 + -6x * 4) + 5x * (4 + -6x)) = 0
((16 + -24x) + 5x * (4 + -6x)) = 0
(16 + -24x + (4 * 5x + -6x * 5x)) = 0
(16 + -24x + (20x + -30x2)) = 0

Combine like terms: -24x + 20x = -4x
(16 + -4x + -30x2) = 0

Solving
16 + -4x + -30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2x + -15x2) = 0

Factor a trinomial.
2((2 + -3x)(4 + 5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0.6666666667, -0.8}

See similar equations:

| 8x+14=5x-7 | | -4(-5x-6)=-22-x | | 45+r=12 | | 4d-8=-88 | | 70=5+0.5(d) | | v^2+42v=0 | | 3(5u-9)=15u-29 | | x-3=5+3x | | 10-8x=23-15x | | a/15+4/15=9/15 | | 6a+24b-15c= | | d+3=2(9+d) | | 5x-6=-5+4x | | -x-29=-(7x-13) | | 15+-8= | | 1/4(a-9)=14 | | 2(3y-5)=-2y+30 | | 5+6-2t-11= | | (x+2)(x+3)=0 | | -3(8x+7)=3x-8(5+x) | | 1/2(a+12)=-8 | | 20k-16=10k | | 4(2y+5)=-4-40 | | -3+=7 | | 11x-4=9x+50 | | 5t+2t-6=24-9 | | 99-6x=12x+23 | | 5z+3=15z | | 8(4a-7)=-56 | | 3(10+15(.8)+2)= | | 5(2a+3)=65 | | 2(3+5x+-2x^2)=0 |

Equations solver categories