12x^2-32x-10=0

Simple and best practice solution for 12x^2-32x-10=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^2-32x-10=0 equation:


Simplifying
12x2 + -32x + -10 = 0

Reorder the terms:
-10 + -32x + 12x2 = 0

Solving
-10 + -32x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -16x + 6x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -16x + 6x2)' equal to zero and attempt to solve: Simplifying -5 + -16x + 6x2 = 0 Solving -5 + -16x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.8333333333 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '0.8333333333' to each side of the equation. -0.8333333333 + -2.666666667x + 0.8333333333 + x2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + -2.666666667x + x2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + -2.666666667x + x2 = 0 + 0.8333333333 -2.666666667x + x2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 -2.666666667x + x2 = 0.8333333333 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = 0.8333333333 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = 0.8333333333 + 1.777777780 Combine like terms: 0.8333333333 + 1.777777780 = 2.6111111133 1.777777780 + -2.666666667x + x2 = 2.6111111133 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = 2.6111111133 Calculate the square root of the right side: 1.615893286 Break this problem into two subproblems by setting (x + -1.333333334) equal to 1.615893286 and -1.615893286.

Subproblem 1

x + -1.333333334 = 1.615893286 Simplifying x + -1.333333334 = 1.615893286 Reorder the terms: -1.333333334 + x = 1.615893286 Solving -1.333333334 + x = 1.615893286 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = 1.615893286 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = 1.615893286 + 1.333333334 x = 1.615893286 + 1.333333334 Combine like terms: 1.615893286 + 1.333333334 = 2.94922662 x = 2.94922662 Simplifying x = 2.94922662

Subproblem 2

x + -1.333333334 = -1.615893286 Simplifying x + -1.333333334 = -1.615893286 Reorder the terms: -1.333333334 + x = -1.615893286 Solving -1.333333334 + x = -1.615893286 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = -1.615893286 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = -1.615893286 + 1.333333334 x = -1.615893286 + 1.333333334 Combine like terms: -1.615893286 + 1.333333334 = -0.282559952 x = -0.282559952 Simplifying x = -0.282559952

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.94922662, -0.282559952}

Solution

x = {2.94922662, -0.282559952}

See similar equations:

| 5z=5z-4+6 | | (2y-1)(2y+1)=25 | | 6x^2y-18x^3y^2=0 | | 3(5n-7)=5(8n+11) | | (y+2)(y-2)=25 | | 4z=1z-4+6 | | 9(-6)-2(-6)=-42 | | -5-8=2 | | -7a-5(7+6a)=29-5a | | 18x^2+33+13=0 | | 3x-10+8x-5+2x=180 | | -25x^2+9y^2-225=0 | | 36+5n=3(-7+8n) | | c(q)=810+3q+.002q^2 | | -2=4+xb | | 30=40-2P | | 233333333+35455434253= | | 100-(-50)+(-25)=x | | x^2+4840x+5248000=6467200 | | 7-2y=-7 | | 5abc=22xyz | | x^2+3x+9=21 | | x^2-3x+9=21 | | 2x-89=17 | | x^2-6x+9=21 | | -6(3t+2)=6 | | 2t+6y=12 | | x^2+6x+9=21 | | x^2+4840x+5248000=1219200 | | -33=3(w-5) | | 7v^2-16v-15=0 | | -6(v-7)=-7v+38 |

Equations solver categories