-3x^2+8x+14=0

Simple and best practice solution for -3x^2+8x+14=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 -3x^2+8x+14=0 equation: 


Simplifying
-3x2 + 8x + 14 = 0

Reorder the terms:
14 + 8x + -3x2 = 0

Solving
14 + 8x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-4.666666667 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '4.666666667' to each side of the equation.
-4.666666667 + -2.666666667x + 4.666666667 + x2 = 0 + 4.666666667

Reorder the terms:
-4.666666667 + 4.666666667 + -2.666666667x + x2 = 0 + 4.666666667

Combine like terms: -4.666666667 + 4.666666667 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + 4.666666667
-2.666666667x + x2 = 0 + 4.666666667

Combine like terms: 0 + 4.666666667 = 4.666666667
-2.666666667x + x2 = 4.666666667

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 = 4.666666667 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = 4.666666667 + 1.777777780

Combine like terms: 4.666666667 + 1.777777780 = 6.444444447
1.777777780 + -2.666666667x + x2 = 6.444444447

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = 6.444444447

Calculate the square root of the right side: 2.538591036

Break this problem into two subproblems by setting 
(x + -1.333333334) equal to 2.538591036 and -2.538591036.


Subproblem 1
x + -1.333333334 = 2.538591036

Simplifying
x + -1.333333334 = 2.538591036

Reorder the terms:
-1.333333334 + x = 2.538591036

Solving
-1.333333334 + x = 2.538591036

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 = 2.538591036 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = 2.538591036 + 1.333333334
x = 2.538591036 + 1.333333334

Combine like terms: 2.538591036 + 1.333333334 = 3.87192437
x = 3.87192437

Simplifying
x = 3.87192437


Subproblem 2
x + -1.333333334 = -2.538591036

Simplifying
x + -1.333333334 = -2.538591036

Reorder the terms:
-1.333333334 + x = -2.538591036

Solving
-1.333333334 + x = -2.538591036

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 = -2.538591036 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = -2.538591036 + 1.333333334
x = -2.538591036 + 1.333333334

Combine like terms: -2.538591036 + 1.333333334 = -1.205257702
x = -1.205257702

Simplifying
x = -1.205257702


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.87192437, -1.205257702}

See similar equations:

| -14=2+4w | | 2(x-7)-6=-2(-7x+1)-4x | | 1.6x+x=130 | | 2x+14(x+1)=0 | | -110=-8z+2 | | -7(n+2)+16=-4n-4 | | 2x+14-(x-1)=0 | | 2*(x+i*y)=6-i*3 | | -4+y=41 | | 33-19=2(x-8) | | 6x-36+2=8x-8 | | 4x+15=16x-11 | | -2x^2-9x+14=0 | | 2x^2-x-6=y | | 6x+4=-2x-7 | | 6(5-X)=-2(X+43) | | 50m+42975=45450-175m | | b+25=-69 | | 2=5y+2 | | y-3=3/4(x-16) | | y/10=3/6 | | 6/9=y/12 | | log(8x-15)=2 | | 11x(12-x)-30=20x+59-6x(4x-13) | | 1/6+2/3+1/18=n | | 1/6+2/3+1/18= | | 3x-6y=-21 | | 90/95=n/19 | | 0.02/100 | | 12/14=n/7 | | Y^1/3*y^4/3 | | 6(x-2)=9x-3(2x+1) |

Equations solver categories