(2x-4)(5x+4)=

Simple and best practice solution for (2x-4)(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 (2x-4)(5x+4)= equation: 


Simplifying
(2x + -4)(5x + 4) = 0

Reorder the terms:
(-4 + 2x)(5x + 4) = 0

Reorder the terms:
(-4 + 2x)(4 + 5x) = 0

Multiply (-4 + 2x) * (4 + 5x)
(-4(4 + 5x) + 2x * (4 + 5x)) = 0
((4 * -4 + 5x * -4) + 2x * (4 + 5x)) = 0
((-16 + -20x) + 2x * (4 + 5x)) = 0
(-16 + -20x + (4 * 2x + 5x * 2x)) = 0
(-16 + -20x + (8x + 10x2)) = 0

Combine like terms: -20x + 8x = -12x
(-16 + -12x + 10x2) = 0

Solving
-16 + -12x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -6x + 5x2) = 0

Factor a trinomial.
2((-4 + -5x)(2 + -1x)) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.8, 2}

See similar equations:

| 4.2x-7/1.4x=1.26 | | y(2y-1)(y+4)= | | 4x+19=-7 | | -3(2-5x)-5(x-11)=x | | 1-(5t/4)=6 | | x(9-x)=20 | | 4.2x-7/1.4 | | (5k-5)(2k-4)= | | 8x^2+12x+27=0 | | 12(3x+3)-6(2x-2)=14x-22 | | 2x+15=43-5x-2x | | (-1/3)(2/3+1/6)= | | 7(c-4)=-7 | | 3.2b-9=1.4+.6b | | 3z-5=3z-13 | | 26/7-13/8 | | (-n/3)-5=-4 | | 35/7-15/8 | | -n/3-5=-4 | | -85+(-58)+67+18= | | 48/90 | | -4y(5x+8y)= | | -15=(c/-4)-15 | | 48/30*1/3 | | -15=c/-4-15 | | 4(n+10)=22 | | 5k-4=k+8 | | 4(7-3x)=-20 | | 8.5/3 | | 1-x=xlog(7) | | 2/3+9/10+1/30 | | 11(k-1)=-7(k-y) |

Equations solver categories