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

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


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

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

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

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

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

Solving
-20 + 2x + 4x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
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

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 = {-2.5, 2}

See similar equations:

| 9.6=x/6 | | -5-(5y-1)=2(7y-16)-y | | 5z+32=4(2z+5) | | y/4-3=7 | | -8v-1=4v-1 | | w=1/4(x+y-z) | | -18-2x=36 | | 1/3x^2+4x-36 | | 3x(5y+38)(8x+26)= | | (6-16)/(2-7) | | 6-16/2-7 | | 3(2+x)=7 | | A+B=60B | | 40=-5n/8 | | p=(g-9)180forg | | 5/x=481 | | x/7=3912 | | 3x^2+x=240 | | -(5/3)x+(2/3)=-11 | | (5m-3n)(4m-2n)=0 | | 3cosx=1 | | y=(x-1)2 | | 27=-3c-3(6-2c) | | y-2=2/3 | | 4+-8y=1.75+y | | 4.4y-4.2=8.1y-1.24 | | 12d+5=5d+12 | | x^2+5x-100= | | (x+a)(x+b)=(x+a)x+(x+a)b | | 7y-4y=63-6y | | 4z(15-7z)-5(2-7)= | | 6(x-2)=3x-8+3x |

Equations solver categories