8x^2+29x-524=0

Simple and best practice solution for 8x^2+29x-524=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+29x-524=0 equation:


Simplifying
8x2 + 29x + -524 = 0

Reorder the terms:
-524 + 29x + 8x2 = 0

Solving
-524 + 29x + 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'.
-65.5 + 3.625x + x2 = 0

Move the constant term to the right:

Add '65.5' to each side of the equation.
-65.5 + 3.625x + 65.5 + x2 = 0 + 65.5

Reorder the terms:
-65.5 + 65.5 + 3.625x + x2 = 0 + 65.5

Combine like terms: -65.5 + 65.5 = 0.0
0.0 + 3.625x + x2 = 0 + 65.5
3.625x + x2 = 0 + 65.5

Combine like terms: 0 + 65.5 = 65.5
3.625x + x2 = 65.5

The x term is 3.625x.  Take half its coefficient (1.8125).
Square it (3.28515625) and add it to both sides.

Add '3.28515625' to each side of the equation.
3.625x + 3.28515625 + x2 = 65.5 + 3.28515625

Reorder the terms:
3.28515625 + 3.625x + x2 = 65.5 + 3.28515625

Combine like terms: 65.5 + 3.28515625 = 68.78515625
3.28515625 + 3.625x + x2 = 68.78515625

Factor a perfect square on the left side:
(x + 1.8125)(x + 1.8125) = 68.78515625

Calculate the square root of the right side: 8.293681707

Break this problem into two subproblems by setting 
(x + 1.8125) equal to 8.293681707 and -8.293681707.

Subproblem 1

x + 1.8125 = 8.293681707 Simplifying x + 1.8125 = 8.293681707 Reorder the terms: 1.8125 + x = 8.293681707 Solving 1.8125 + x = 8.293681707 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8125' to each side of the equation. 1.8125 + -1.8125 + x = 8.293681707 + -1.8125 Combine like terms: 1.8125 + -1.8125 = 0.0000 0.0000 + x = 8.293681707 + -1.8125 x = 8.293681707 + -1.8125 Combine like terms: 8.293681707 + -1.8125 = 6.481181707 x = 6.481181707 Simplifying x = 6.481181707

Subproblem 2

x + 1.8125 = -8.293681707 Simplifying x + 1.8125 = -8.293681707 Reorder the terms: 1.8125 + x = -8.293681707 Solving 1.8125 + x = -8.293681707 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8125' to each side of the equation. 1.8125 + -1.8125 + x = -8.293681707 + -1.8125 Combine like terms: 1.8125 + -1.8125 = 0.0000 0.0000 + x = -8.293681707 + -1.8125 x = -8.293681707 + -1.8125 Combine like terms: -8.293681707 + -1.8125 = -10.106181707 x = -10.106181707 Simplifying x = -10.106181707

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.481181707, -10.106181707}

See similar equations:

| 180=(11x-18) | | -154=8x+6 | | 2x^2+nx=3mx-m^2+n^2 | | 180=(11x-18)+40 | | 3(x)+5=17 | | 5x+12=-67 | | x^3+12x-8=0 | | 180=(11c-18)+40 | | 4x^2+6x-238=0 | | 3(x)+5=17+5 | | 5.3x+-4.1x=3.6x-1.6 | | 2f(g+h)=0 | | 3(x)=17+4 | | 11u=4u+63 | | 4(y-1)=4y-4 | | 2p+6=10-4p | | 12x=-18x | | a=26.64-(-9) | | 3(c)-5=17 | | 1.9w+7.9=.9w-3.8 | | x^3-50x=120 | | x+(x-42)=88 | | 1000*q=5.9115 | | 9x-(2.6x+525000)=200000 | | 46=12c | | 27w+45=0 | | 3(4)-5=17 | | 7x-15=-x+17 | | P=2l+20 | | -3x-6=-3x-7 | | x^3y^2+4x^2y-12x=0 | | (x-y)(x^2+17xy+y^2)= |

Equations solver categories