(2x-5)*2=4x(x-2)+61

Simple and best practice solution for (2x-5)*2=4x(x-2)+61 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)*2=4x(x-2)+61 equation: 


Simplifying
(2x + -5) * 2 = 4x(x + -2) + 61

Reorder the terms:
(-5 + 2x) * 2 = 4x(x + -2) + 61

Reorder the terms for easier multiplication:
2(-5 + 2x) = 4x(x + -2) + 61
(-5 * 2 + 2x * 2) = 4x(x + -2) + 61
(-10 + 4x) = 4x(x + -2) + 61

Reorder the terms:
-10 + 4x = 4x(-2 + x) + 61
-10 + 4x = (-2 * 4x + x * 4x) + 61
-10 + 4x = (-8x + 4x2) + 61

Reorder the terms:
-10 + 4x = 61 + -8x + 4x2

Solving
-10 + 4x = 61 + -8x + 4x2

Solving for variable 'x'.

Reorder the terms:
-10 + -61 + 4x + 8x + -4x2 = 61 + -8x + 4x2 + -61 + 8x + -4x2

Combine like terms: -10 + -61 = -71
-71 + 4x + 8x + -4x2 = 61 + -8x + 4x2 + -61 + 8x + -4x2

Combine like terms: 4x + 8x = 12x
-71 + 12x + -4x2 = 61 + -8x + 4x2 + -61 + 8x + -4x2

Reorder the terms:
-71 + 12x + -4x2 = 61 + -61 + -8x + 8x + 4x2 + -4x2

Combine like terms: 61 + -61 = 0
-71 + 12x + -4x2 = 0 + -8x + 8x + 4x2 + -4x2
-71 + 12x + -4x2 = -8x + 8x + 4x2 + -4x2

Combine like terms: -8x + 8x = 0
-71 + 12x + -4x2 = 0 + 4x2 + -4x2
-71 + 12x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-71 + 12x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
17.75 + -3x + x2 = 0

Move the constant term to the right:

Add '-17.75' to each side of the equation.
17.75 + -3x + -17.75 + x2 = 0 + -17.75

Reorder the terms:
17.75 + -17.75 + -3x + x2 = 0 + -17.75

Combine like terms: 17.75 + -17.75 = 0.00
0.00 + -3x + x2 = 0 + -17.75
-3x + x2 = 0 + -17.75

Combine like terms: 0 + -17.75 = -17.75
-3x + x2 = -17.75

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -17.75 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -17.75 + 2.25

Combine like terms: -17.75 + 2.25 = -15.5
2.25 + -3x + x2 = -15.5

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -15.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6n-20=-25+n | | -10/8c^3 | | -10/8c | | y=0.5x-0.5 | | 3x+6x=3(2+x) | | 12x^4-36x^2=0 | | 4-9i/5-4i | | X-7/2=-8 | | x*.35=65x | | 20r=56 | | X/6+20=22 | | 10(c-4)+8=5+c-37 | | -(r-1)= | | f=1/3(g+h-k) | | 6r=51 | | 2(x-4)/5=12 | | -5/7p=-15 | | 16v=67 | | -2/5s=-8 | | 3(4-x)=3x-3 | | 0x-4= | | 6=-2(x+2) | | -4m+4= | | 2x+1=-12-20x | | 24x=100 | | 2400=15T+8S | | 24.1x=100 | | 2n+1=-4(3+5n) | | 19=4+4y | | -4a+2(a-3)=8 | | 2/3x-5/12=x+1/2 | | 12b-10b+9-2=2b+2+5 |

Equations solver categories