12x^2+10x-5=0

Simple and best practice solution for 12x^2+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 12x^2+10x-5=0 equation: 


Simplifying
12x2 + 10x + -5 = 0

Reorder the terms:
-5 + 10x + 12x2 = 0

Solving
-5 + 10x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
-0.4166666667 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '0.4166666667' to each side of the equation.
-0.4166666667 + 0.8333333333x + 0.4166666667 + x2 = 0 + 0.4166666667

Reorder the terms:
-0.4166666667 + 0.4166666667 + 0.8333333333x + x2 = 0 + 0.4166666667

Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + 0.4166666667
0.8333333333x + x2 = 0 + 0.4166666667

Combine like terms: 0 + 0.4166666667 = 0.4166666667
0.8333333333x + x2 = 0.4166666667

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = 0.4166666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = 0.4166666667 + 0.1736111111

Combine like terms: 0.4166666667 + 0.1736111111 = 0.5902777778
0.1736111111 + 0.8333333333x + x2 = 0.5902777778

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = 0.5902777778

Calculate the square root of the right side: 0.768295371

Break this problem into two subproblems by setting 
(x + 0.4166666667) equal to 0.768295371 and -0.768295371.


Subproblem 1
x + 0.4166666667 = 0.768295371

Simplifying
x + 0.4166666667 = 0.768295371

Reorder the terms:
0.4166666667 + x = 0.768295371

Solving
0.4166666667 + x = 0.768295371

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.4166666667 + x = 0.768295371 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + x = 0.768295371 + -0.4166666667
x = 0.768295371 + -0.4166666667

Combine like terms: 0.768295371 + -0.4166666667 = 0.3516287043
x = 0.3516287043

Simplifying
x = 0.3516287043


Subproblem 2
x + 0.4166666667 = -0.768295371

Simplifying
x + 0.4166666667 = -0.768295371

Reorder the terms:
0.4166666667 + x = -0.768295371

Solving
0.4166666667 + x = -0.768295371

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.4166666667 + x = -0.768295371 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + x = -0.768295371 + -0.4166666667
x = -0.768295371 + -0.4166666667

Combine like terms: -0.768295371 + -0.4166666667 = -1.1849620377
x = -1.1849620377

Simplifying
x = -1.1849620377


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.3516287043, -1.1849620377}

See similar equations:

| -2.5x+3.9y=7 | | 5x+15=2z+27 | | x+7t=0 | | nDeriv(sin(2x))= | | 80=32(x-3)+8x | | x+x+x+4+x+4= | | x^3+9x^2=-8x | | 5x+2y-3x+y= | | (-5x^3-6x)(3x+7)= | | 11k=10k-100 | | 0.5x^2+x-5=0 | | X^3+9x^2+8= | | 9(1)+12= | | 3k+1(-1)=2 | | X^3+9x^2+8=0 | | R=-0.075t+3.85 | | 3k+1-1=2+6x | | 12n^2+48n=-n^3-64 | | -4+3y=-6 | | 3k+1-1=2(1+3x) | | 3x+(-x)+4=4(-x)+22 | | 4+7a=12+3a | | 3k-1=2(1+3x) | | F(x)=3x+12 | | (6x-54)-(5x+27)=23 | | (-2x+9)-(7x-5)= | | 2.75+7.75(5-2x)=26 | | 7x^2-4x-128=0 | | 3k-1=2+6x | | -j+12-1.5j=9 | | -6(3x+4)=-168 | | -11x-10=111 |

Equations solver categories