10x^2+28x-1=0

Simple and best practice solution for 10x^2+28x-1=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 10x^2+28x-1=0 equation:


Simplifying
10x2 + 28x + -1 = 0

Reorder the terms:
-1 + 28x + 10x2 = 0

Solving
-1 + 28x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
-0.1 + 2.8x + x2 = 0

Move the constant term to the right:

Add '0.1' to each side of the equation.
-0.1 + 2.8x + 0.1 + x2 = 0 + 0.1

Reorder the terms:
-0.1 + 0.1 + 2.8x + x2 = 0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 2.8x + x2 = 0 + 0.1
2.8x + x2 = 0 + 0.1

Combine like terms: 0 + 0.1 = 0.1
2.8x + x2 = 0.1

The x term is 2.8x.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8x + 1.96 + x2 = 0.1 + 1.96

Reorder the terms:
1.96 + 2.8x + x2 = 0.1 + 1.96

Combine like terms: 0.1 + 1.96 = 2.06
1.96 + 2.8x + x2 = 2.06

Factor a perfect square on the left side:
(x + 1.4)(x + 1.4) = 2.06

Calculate the square root of the right side: 1.435270009

Break this problem into two subproblems by setting 
(x + 1.4) equal to 1.435270009 and -1.435270009.

Subproblem 1

x + 1.4 = 1.435270009 Simplifying x + 1.4 = 1.435270009 Reorder the terms: 1.4 + x = 1.435270009 Solving 1.4 + x = 1.435270009 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = 1.435270009 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = 1.435270009 + -1.4 x = 1.435270009 + -1.4 Combine like terms: 1.435270009 + -1.4 = 0.035270009 x = 0.035270009 Simplifying x = 0.035270009

Subproblem 2

x + 1.4 = -1.435270009 Simplifying x + 1.4 = -1.435270009 Reorder the terms: 1.4 + x = -1.435270009 Solving 1.4 + x = -1.435270009 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = -1.435270009 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = -1.435270009 + -1.4 x = -1.435270009 + -1.4 Combine like terms: -1.435270009 + -1.4 = -2.835270009 x = -2.835270009 Simplifying x = -2.835270009

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.035270009, -2.835270009}

See similar equations:

| -6/-6=x | | 25000Z+13000=213000 | | -7(x+3)=-15-7x-6 | | -(-y)+x= | | y-5.8=-16.2 | | (x-4)/10=7/5 | | m-(x)= | | 19x+y=20 | | 2.2x-1.2=4.6x+15.6 | | -1/4m=7 | | x+y+5= | | 4x+15y=19 | | -18y^2+y^3+81y=0 | | 17-5*x=11*3 | | p+43=34.2 | | -144=-6(-6n+6) | | p+43=34 | | 3x^2-15x+2x-13=0 | | 2(1+5x)+4=66 | | 2j+2=8 | | 4x-12+3x=3+7x-14 | | y=-(-5)-7 | | 32LW=V | | 8x-7x=19 | | 88=4+6(4k+6) | | 4b+18=8b-36 | | 6x=-53 | | 528=(346+2x)/6 | | a+1/3a+b-2/5b | | -80=-5(4-6p) | | 8-2m=4 | | 10-3p=4 |

Equations solver categories