8x^2+18x-25=0

Simple and best practice solution for 8x^2+18x-25=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 8x^2+18x-25=0 equation:


Simplifying
8x2 + 18x + -25 = 0

Reorder the terms:
-25 + 18x + 8x2 = 0

Solving
-25 + 18x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
-3.125 + 2.25x + x2 = 0

Move the constant term to the right:

Add '3.125' to each side of the equation.
-3.125 + 2.25x + 3.125 + x2 = 0 + 3.125

Reorder the terms:
-3.125 + 3.125 + 2.25x + x2 = 0 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + 2.25x + x2 = 0 + 3.125
2.25x + x2 = 0 + 3.125

Combine like terms: 0 + 3.125 = 3.125
2.25x + x2 = 3.125

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = 3.125 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = 3.125 + 1.265625

Combine like terms: 3.125 + 1.265625 = 4.390625
1.265625 + 2.25x + x2 = 4.390625

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = 4.390625

Calculate the square root of the right side: 2.095381827

Break this problem into two subproblems by setting 
(x + 1.125) equal to 2.095381827 and -2.095381827.

Subproblem 1

x + 1.125 = 2.095381827 Simplifying x + 1.125 = 2.095381827 Reorder the terms: 1.125 + x = 2.095381827 Solving 1.125 + x = 2.095381827 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = 2.095381827 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 2.095381827 + -1.125 x = 2.095381827 + -1.125 Combine like terms: 2.095381827 + -1.125 = 0.970381827 x = 0.970381827 Simplifying x = 0.970381827

Subproblem 2

x + 1.125 = -2.095381827 Simplifying x + 1.125 = -2.095381827 Reorder the terms: 1.125 + x = -2.095381827 Solving 1.125 + x = -2.095381827 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = -2.095381827 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -2.095381827 + -1.125 x = -2.095381827 + -1.125 Combine like terms: -2.095381827 + -1.125 = -3.220381827 x = -3.220381827 Simplifying x = -3.220381827

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.970381827, -3.220381827}

See similar equations:

| x-39=24 | | 5x(2x-6)(-4x-12)=0 | | 3.5-3.6= | | 9x-8=x-2 | | 3n=11.0 | | 3.4*3.5*3.6*7.0= | | 10d-50=8d-30 | | 5(x-1)-9=11 | | 6,5x/6,5 | | x-39=23 | | 5.4-5.4= | | 38=50-v | | -0.2+2.4= | | 5x/3-4=-29 | | 3x-5(x+3)=12 | | w-42=12 | | 3(m-2)-11=72 | | 8x+4-3x=15 | | 2.4-2.6= | | 41=34+v | | 41=34 | | 10x-8+8-10=180 | | 3y-2/x | | 32+8A=-8(4-3A) | | -0.4+3.8= | | 4(4x-9)=-4 | | Log(3x+6)=0 | | 8+4x=-10+2x | | 60p+50=70p | | 5x+2x+10-2=34 | | 5x-4=6y+3 | | 12x(x+3)=15x-4 |

Equations solver categories