12x^2-2x-8=

Simple and best practice solution for 12x^2-2x-8= 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^2-2x-8= equation:


Simplifying
12x2 + -2x + -8 = 0

Reorder the terms:
-8 + -2x + 12x2 = 0

Solving
-8 + -2x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1x + 6x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1x + 6x2)' equal to zero and attempt to solve: Simplifying -4 + -1x + 6x2 = 0 Solving -4 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.6666666667 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + -0.1666666667x + 0.6666666667 + x2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + -0.1666666667x + x2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + -0.1666666667x + x2 = 0 + 0.6666666667 -0.1666666667x + x2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 -0.1666666667x + x2 = 0.6666666667 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = 0.6666666667 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = 0.6666666667 + 0.006944444447 Combine like terms: 0.6666666667 + 0.006944444447 = 0.673611111147 0.006944444447 + -0.1666666667x + x2 = 0.673611111147 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = 0.673611111147 Calculate the square root of the right side: 0.82073815 Break this problem into two subproblems by setting (x + -0.08333333335) equal to 0.82073815 and -0.82073815.

Subproblem 1

x + -0.08333333335 = 0.82073815 Simplifying x + -0.08333333335 = 0.82073815 Reorder the terms: -0.08333333335 + x = 0.82073815 Solving -0.08333333335 + x = 0.82073815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08333333335' to each side of the equation. -0.08333333335 + 0.08333333335 + x = 0.82073815 + 0.08333333335 Combine like terms: -0.08333333335 + 0.08333333335 = 0.00000000000 0.00000000000 + x = 0.82073815 + 0.08333333335 x = 0.82073815 + 0.08333333335 Combine like terms: 0.82073815 + 0.08333333335 = 0.90407148335 x = 0.90407148335 Simplifying x = 0.90407148335

Subproblem 2

x + -0.08333333335 = -0.82073815 Simplifying x + -0.08333333335 = -0.82073815 Reorder the terms: -0.08333333335 + x = -0.82073815 Solving -0.08333333335 + x = -0.82073815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08333333335' to each side of the equation. -0.08333333335 + 0.08333333335 + x = -0.82073815 + 0.08333333335 Combine like terms: -0.08333333335 + 0.08333333335 = 0.00000000000 0.00000000000 + x = -0.82073815 + 0.08333333335 x = -0.82073815 + 0.08333333335 Combine like terms: -0.82073815 + 0.08333333335 = -0.73740481665 x = -0.73740481665 Simplifying x = -0.73740481665

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.90407148335, -0.73740481665}

Solution

x = {0.90407148335, -0.73740481665}

See similar equations:

| -6x+2x-11=-2(2x-3)+4 | | 6x=3(x+7) | | 3t+21.00=60.00 | | .4x=2.4 | | y+8+5y= | | 12p^4+61p^3q+5p^2q^2= | | (x+10)+x=45 | | 2f=f(3) | | 3x^4-4x+12x^2-16= | | 2x=7x+10 | | 8h-6h+5h= | | 16x^2-25= | | 3r^2-4r+7-(8r-4r^2+2)= | | x^8+18x+17= | | .15x-1=14x | | t^2+15=0 | | 64-100x^2= | | 3a^2+16a+5= | | 4(x+2)+3(x+5)=72 | | -29-6y+17=-28y+32+11y | | x^2-3x+10=0 | | 5x+20=5x+40 | | y(x+6)-9(x+6)= | | -7(y-9)-3y=-47 | | 121X^4-100X^2=0 | | -42-4y+18=-23y+119+8y | | x^2-6x=5 | | x^2-3x+4=0 | | 4t-8=5(t+4) | | m+32=-2 | | 3x^4-8x^2+18=0 | | 2x^2+7x=15 |

Equations solver categories