8x^2-4x-10x-5=0

Simple and best practice solution for 8x^2-4x-10x-5=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^2-4x-10x-5=0 equation:


Simplifying
8x2 + -4x + -10x + -5 = 0

Reorder the terms:
-5 + -4x + -10x + 8x2 = 0

Combine like terms: -4x + -10x = -14x
-5 + -14x + 8x2 = 0

Solving
-5 + -14x + 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'.
-0.625 + -1.75x + x2 = 0

Move the constant term to the right:

Add '0.625' to each side of the equation.
-0.625 + -1.75x + 0.625 + x2 = 0 + 0.625

Reorder the terms:
-0.625 + 0.625 + -1.75x + x2 = 0 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + -1.75x + x2 = 0 + 0.625
-1.75x + x2 = 0 + 0.625

Combine like terms: 0 + 0.625 = 0.625
-1.75x + x2 = 0.625

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = 0.625 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = 0.625 + 0.765625

Combine like terms: 0.625 + 0.765625 = 1.390625
0.765625 + -1.75x + x2 = 1.390625

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = 1.390625

Calculate the square root of the right side: 1.179247642

Break this problem into two subproblems by setting 
(x + -0.875) equal to 1.179247642 and -1.179247642.

Subproblem 1

x + -0.875 = 1.179247642 Simplifying x + -0.875 = 1.179247642 Reorder the terms: -0.875 + x = 1.179247642 Solving -0.875 + x = 1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.875' to each side of the equation. -0.875 + 0.875 + x = 1.179247642 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + x = 1.179247642 + 0.875 x = 1.179247642 + 0.875 Combine like terms: 1.179247642 + 0.875 = 2.054247642 x = 2.054247642 Simplifying x = 2.054247642

Subproblem 2

x + -0.875 = -1.179247642 Simplifying x + -0.875 = -1.179247642 Reorder the terms: -0.875 + x = -1.179247642 Solving -0.875 + x = -1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.875' to each side of the equation. -0.875 + 0.875 + x = -1.179247642 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + x = -1.179247642 + 0.875 x = -1.179247642 + 0.875 Combine like terms: -1.179247642 + 0.875 = -0.304247642 x = -0.304247642 Simplifying x = -0.304247642

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.054247642, -0.304247642}

See similar equations:

| [4]-7= | | 57/8=141/8y | | 35=19+d | | 5x^2-46x+64=2x | | 204=h+5 | | 120=v+114 | | 6x-36=90 | | -13+5n=8(6n-7) | | y=2(3)x | | [4-7]= | | 20+r=32 | | 240=h+5 | | 533=4x+1y | | x+52=7 | | H-31=20 | | 130/13=x/21 | | a-13=-233/4 | | x+2(2x+2)=40 | | -26k-27=14 | | 4+k=15 | | 7x^2=4900 | | 263=4x+1y | | 3y-8=17 | | 34+2y-13=11y-14-4y | | 3x-5=8-8(6+5x) | | 1/8k=28 | | 2tanx-x-1=0 | | 5x-3y-z=6 | | 6+17h=11 | | 8x-1=3.4 | | 24b-19=11 | | f(2i)=x^2+x-4 |

Equations solver categories