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

Simple and best practice solution for (4x-6)(5x+4)= 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)= 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((-4 + -5x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.8, 1.5}

See similar equations:

| y=4x^2-16x-3 | | 7(11x)=yx | | 5=(0.4*7+0.6*x)1.2 | | 8(2v+3)=-34-6v | | 7+8(1-2y)=19 | | 6n*3=9 | | 2x+4(8x-1)=35-5x | | 4x-8=x^2-3x+2 | | 3p+8=-p | | 5x^2+6=x | | 5g-3+7=24-7g | | -33+2r=-5(3r+6) | | 0=-16.1t^2+150 | | 4w=3.4+.6 | | -15v+6v= | | 4w=3.4+6 | | (8x^3-5x^2-12)-(8x^3-3x^2+2x)=0 | | 4c+35-15=9c-45 | | 5x*5=16x | | 37-17= | | 4e^2x+10=20 | | -.8a-8=0.2a | | 32=8-y-13y | | 5y+19+2(3-4y)=7y-12 | | 7x-2+(4x+7)=3x-15 | | 52.4=-2x | | 50x=250+50 | | Y=4(17)+1 | | 590=5(9x+10) | | 32=y-8-32y | | 6x-24+2x=8x+12 | | 5/6=20 |

Equations solver categories