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

Simple and best practice solution for (2x-5)*(2x+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 (2x-5)*(2x+4)=0 equation: 


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

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

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

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

Combine like terms: -10x + 8x = -2x
(-20 + -2x + 4x2) = 0

Solving
-20 + -2x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -1x + 2x2) = 0

Factor a trinomial.
2((-2 + -1x)(5 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2, 2.5}

See similar equations:

| -215+e+(-43)=45 | | -5x-5(x+6)=3x+9 | | 5(y-4)=6y+2 | | 3w+5=41 | | 3x+10=2x-12 | | 14.6=42x+2(-9x+3.3) | | [(x)(x)]-8x=-12 | | (-7i)(3i)= | | 8+r/9=13 | | 0.08r=5 | | 5x-2=8 | | 6x-x-12=0 | | u=54 | | -7/2+29x/4=x/4+1/2(8x-1) | | 2(6t-1)-3(3t-4)= | | (x-5)(x+6)(x-1)=0 | | -(6y+8p-7)= | | [(x)(x)]=9x | | 9(4n-6)= | | -5x-14=6x+19 | | 8(3y-2)=4(7y-1) | | 3(-2)+7=-2-1 | | d-2.7=1.4 | | 36-5a=1 | | 5a^2-6a+7a^2+3a-2+8a+7= | | 7-4x=5(22-x) | | 8x+11=39 | | -5-8x=11 | | 8-4x=2x-22 | | (8i)2= | | 0=3x-1-12x+2 | | k-(-16)=-13 |

Equations solver categories