8x(4x-5)=25

Simple and best practice solution for 8x(4x-5)=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(4x-5)=25 equation:


Simplifying
8x(4x + -5) = 25

Reorder the terms:
8x(-5 + 4x) = 25
(-5 * 8x + 4x * 8x) = 25
(-40x + 32x2) = 25

Solving
-40x + 32x2 = 25

Solving for variable 'x'.

Reorder the terms:
-25 + -40x + 32x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + -40x + 32x2 = 0

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

Divide each side by '32'.
-0.78125 + -1.25x + x2 = 0

Move the constant term to the right:

Add '0.78125' to each side of the equation.
-0.78125 + -1.25x + 0.78125 + x2 = 0 + 0.78125

Reorder the terms:
-0.78125 + 0.78125 + -1.25x + x2 = 0 + 0.78125

Combine like terms: -0.78125 + 0.78125 = 0.00000
0.00000 + -1.25x + x2 = 0 + 0.78125
-1.25x + x2 = 0 + 0.78125

Combine like terms: 0 + 0.78125 = 0.78125
-1.25x + x2 = 0.78125

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 0.78125 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 0.78125 + 0.390625

Combine like terms: 0.78125 + 0.390625 = 1.171875
0.390625 + -1.25x + x2 = 1.171875

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 1.171875

Calculate the square root of the right side: 1.082531755

Break this problem into two subproblems by setting 
(x + -0.625) equal to 1.082531755 and -1.082531755.

Subproblem 1

x + -0.625 = 1.082531755 Simplifying x + -0.625 = 1.082531755 Reorder the terms: -0.625 + x = 1.082531755 Solving -0.625 + x = 1.082531755 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = 1.082531755 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 1.082531755 + 0.625 x = 1.082531755 + 0.625 Combine like terms: 1.082531755 + 0.625 = 1.707531755 x = 1.707531755 Simplifying x = 1.707531755

Subproblem 2

x + -0.625 = -1.082531755 Simplifying x + -0.625 = -1.082531755 Reorder the terms: -0.625 + x = -1.082531755 Solving -0.625 + x = -1.082531755 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = -1.082531755 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -1.082531755 + 0.625 x = -1.082531755 + 0.625 Combine like terms: -1.082531755 + 0.625 = -0.457531755 x = -0.457531755 Simplifying x = -0.457531755

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.707531755, -0.457531755}

See similar equations:

| 10y-7y-2y=8 | | 5x^2-50x+160=0 | | p=5(x+3)(x-24) | | a(5+15)=3a-6 | | -(1)/(2)(4x-10)=15 | | 9+8+8+7=24 | | 5(a+15)=3a-6 | | a(5-15)=3a-6 | | 5(a-15)=3a-6 | | 14t-3t-10t=17 | | 17p-16p=5 | | y=.5(x+8)-2 | | -1/4/(-1/8) | | W=36+6 | | 2/2n=10 | | 4z-18=6 | | y=.5(x+8)-8 | | 7a(5b)(4c)= | | 2+8(t+3)+3=0 | | 81=m/9 | | 9x+38=7x+10 | | 6a-5a+1=10 | | -3(d+1)=-2(3d-9) | | 8k-6k=9k | | 6*(1+2)=6*2+6 | | 9z-3z-2z+3z-5z=20 | | 15*3.2= | | 89+5x+-8=51+3x+4 | | 16y-14y-y=15 | | -t/7.5=3.4 | | z+3z-2z+z-z=8 | | -5+2w=-w+3 |

Equations solver categories