(2x+5)(2x+5)-8(2x+5)+12=0

Simple and best practice solution for (2x+5)(2x+5)-8(2x+5)+12=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+5)-8(2x+5)+12=0 equation: 


Simplifying
(2x + 5)(2x + 5) + -8(2x + 5) + 12 = 0

Reorder the terms:
(5 + 2x)(2x + 5) + -8(2x + 5) + 12 = 0

Reorder the terms:
(5 + 2x)(5 + 2x) + -8(2x + 5) + 12 = 0

Multiply (5 + 2x) * (5 + 2x)
(5(5 + 2x) + 2x * (5 + 2x)) + -8(2x + 5) + 12 = 0
((5 * 5 + 2x * 5) + 2x * (5 + 2x)) + -8(2x + 5) + 12 = 0
((25 + 10x) + 2x * (5 + 2x)) + -8(2x + 5) + 12 = 0
(25 + 10x + (5 * 2x + 2x * 2x)) + -8(2x + 5) + 12 = 0
(25 + 10x + (10x + 4x2)) + -8(2x + 5) + 12 = 0

Combine like terms: 10x + 10x = 20x
(25 + 20x + 4x2) + -8(2x + 5) + 12 = 0

Reorder the terms:
25 + 20x + 4x2 + -8(5 + 2x) + 12 = 0
25 + 20x + 4x2 + (5 * -8 + 2x * -8) + 12 = 0
25 + 20x + 4x2 + (-40 + -16x) + 12 = 0

Reorder the terms:
25 + -40 + 12 + 20x + -16x + 4x2 = 0

Combine like terms: 25 + -40 = -15
-15 + 12 + 20x + -16x + 4x2 = 0

Combine like terms: -15 + 12 = -3
-3 + 20x + -16x + 4x2 = 0

Combine like terms: 20x + -16x = 4x
-3 + 4x + 4x2 = 0

Solving
-3 + 4x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(1 + -2x) = 0


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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-1.5, 0.5}

See similar equations:

| 60+3x+60=180 | | 7h+5=40 | | rx-3d=2+t | | 3x-5+x=2x+7 | | -15x-20=-12x-115 | | -2x+6=6(1+4x) | | 8=3x+6x | | (x^2)-2xy+(3y^2)=8 | | sin^3(x)-3=(3sin^2(x)+2sin(x)-3)tan(x) | | 3(2x+7)=-25+10 | | -55-2=9c | | 10r-4=26 | | D^2+5d-24=0 | | 4X^2-3X+2=AX+B | | -(n-3)+5=4(n+2)-5 | | 9-(3x-4)=-2 | | 3x+11x-17=67 | | 4t^2+24t+12=5 | | 6m-21=3 | | 2(8b+6)=-84 | | -7x+16x=16+2 | | Y=-16t^2+1454 | | 11b+2=46 | | 51y=-3 | | -4y=5y | | 10x-9=21-5x | | X^2+6x+5=(x+5) | | 4x^3-25*x^2+42*x-9=0 | | 4+3x-x=24 | | (1-8)*(3+8)= | | x=40+-0.6666666667y | | 11b+2=40 |

Equations solver categories