8x-2x(x-5)=x+25

Simple and best practice solution for 8x-2x(x-5)=x+25 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 8x-2x(x-5)=x+25 equation:


Simplifying
8x + -2x(x + -5) = x + 25

Reorder the terms:
8x + -2x(-5 + x) = x + 25
8x + (-5 * -2x + x * -2x) = x + 25
8x + (10x + -2x2) = x + 25

Combine like terms: 8x + 10x = 18x
18x + -2x2 = x + 25

Reorder the terms:
18x + -2x2 = 25 + x

Solving
18x + -2x2 = 25 + x

Solving for variable 'x'.

Reorder the terms:
-25 + 18x + -1x + -2x2 = 25 + x + -25 + -1x

Combine like terms: 18x + -1x = 17x
-25 + 17x + -2x2 = 25 + x + -25 + -1x

Reorder the terms:
-25 + 17x + -2x2 = 25 + -25 + x + -1x

Combine like terms: 25 + -25 = 0
-25 + 17x + -2x2 = 0 + x + -1x
-25 + 17x + -2x2 = x + -1x

Combine like terms: x + -1x = 0
-25 + 17x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
12.5 + -8.5x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -8.5x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -8.5x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -8.5x + x2 = 0 + -12.5
-8.5x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-8.5x + x2 = -12.5

The x term is -8.5x.  Take half its coefficient (-4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
-8.5x + 18.0625 + x2 = -12.5 + 18.0625

Reorder the terms:
18.0625 + -8.5x + x2 = -12.5 + 18.0625

Combine like terms: -12.5 + 18.0625 = 5.5625
18.0625 + -8.5x + x2 = 5.5625

Factor a perfect square on the left side:
(x + -4.25)(x + -4.25) = 5.5625

Calculate the square root of the right side: 2.358495283

Break this problem into two subproblems by setting 
(x + -4.25) equal to 2.358495283 and -2.358495283.

Subproblem 1

x + -4.25 = 2.358495283 Simplifying x + -4.25 = 2.358495283 Reorder the terms: -4.25 + x = 2.358495283 Solving -4.25 + x = 2.358495283 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.25' to each side of the equation. -4.25 + 4.25 + x = 2.358495283 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + x = 2.358495283 + 4.25 x = 2.358495283 + 4.25 Combine like terms: 2.358495283 + 4.25 = 6.608495283 x = 6.608495283 Simplifying x = 6.608495283

Subproblem 2

x + -4.25 = -2.358495283 Simplifying x + -4.25 = -2.358495283 Reorder the terms: -4.25 + x = -2.358495283 Solving -4.25 + x = -2.358495283 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.25' to each side of the equation. -4.25 + 4.25 + x = -2.358495283 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + x = -2.358495283 + 4.25 x = -2.358495283 + 4.25 Combine like terms: -2.358495283 + 4.25 = 1.891504717 x = 1.891504717 Simplifying x = 1.891504717

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.608495283, 1.891504717}

See similar equations:

| x-15=48 | | -4*1+3y=-7 | | 17(5c-1)-4=83c+17 | | -4*0+3y=-7 | | 5*0-13y=7 | | 10x+60=0 | | 2t-2=3(t+5) | | 2x+3-5x=-9x-6+6x+9 | | 2y-48=8(y-3) | | 3(x-3)-11=0 | | 5j-7=2j+3(4+j) | | 2/3-x/2=11/6 | | -3(y+3)=-5y+1 | | 5x-24x+8=10 | | 2/3-x/2=-11 | | (n+9)+(d+21)=10 | | -6c+3=21 | | (-1/5) | | 9y+29=4(y+6) | | 3x=-x^2 | | 2x+5-x+1=10 | | 3(4x+3)+21=5x+2 | | 7(v-2)-5v=-34 | | -2y+8(y+5)=-14 | | -18=4(w-4)-2w | | -2x-3y+3z= | | 1/3(3.14)= | | 1/3.3.14= | | w(x)-2=5x-2 | | 1/3x3.14= | | 1/3*h-4(2/3*h-3)=2/3*h-6 | | 5x-2=a |

Equations solver categories