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

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


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

Reorder the terms:
(6 + 4x)(5x + -4) = 0

Reorder the terms:
(6 + 4x)(-4 + 5x) = 0

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

Combine like terms: 30x + -16x = 14x
(-24 + 14x + 20x2) = 0

Solving
-24 + 14x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 7x + 10x2) = 0

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

Ignore the factor 2.

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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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 = {-1.5, 0.8}

See similar equations:

| -(1/3)+4/7 | | 5w-25/5w-10 | | 4(d+2)-2d-3=(2+d) | | -10=7z-10 | | 3y-6+5y-8= | | 4(d+2)-2d+3=(2+d) | | d-50.00=0.80(d-100.00) | | 2.3x-19=1.4x+8 | | (3/5)x-x-4=-1 | | -4=u-5 | | 3/5x-x-4=-1 | | =5(2)-3 | | =4(4)-2 | | Y=1-sinx | | 32.2=230*0.07 | | 0.5x+19.5=x-2.3 | | 3(2x-3.2)=3x-9.6 | | -0.9x+1.75=-0.4x+6.75 | | a+1/a=6 | | 1x-48=4x+7 | | -0.9+1.75=-0.4+6.75 | | -6+6x=-2 | | 12+u=19 | | 6.2x+6-2.2x=2 | | 8.3+8.3+8.3+8.3= | | -6=-5z-6 | | -2+3=-5 | | 2x-9=24-21x | | z/6+3=z/5+2 | | .80(D-100)=D-50 | | m/4=m/12+8/3 | | 18x-25x=1/3 |

Equations solver categories