3x^2-8x-70=0

Simple and best practice solution for 3x^2-8x-70=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-70=0 equation: 


Simplifying
3x2 + -8x + -70 = 0

Reorder the terms:
-70 + -8x + 3x2 = 0

Solving
-70 + -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'.
-23.33333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '23.33333333' to each side of the equation.
-23.33333333 + -2.666666667x + 23.33333333 + x2 = 0 + 23.33333333

Reorder the terms:
-23.33333333 + 23.33333333 + -2.666666667x + x2 = 0 + 23.33333333

Combine like terms: -23.33333333 + 23.33333333 = 0.00000000
0.00000000 + -2.666666667x + x2 = 0 + 23.33333333
-2.666666667x + x2 = 0 + 23.33333333

Combine like terms: 0 + 23.33333333 = 23.33333333
-2.666666667x + x2 = 23.33333333

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 = 23.33333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = 23.33333333 + 1.777777780

Combine like terms: 23.33333333 + 1.777777780 = 25.11111111
1.777777780 + -2.666666667x + x2 = 25.11111111

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = 25.11111111

Calculate the square root of the right side: 5.011098793

Break this problem into two subproblems by setting 
(x + -1.333333334) equal to 5.011098793 and -5.011098793.


Subproblem 1
x + -1.333333334 = 5.011098793

Simplifying
x + -1.333333334 = 5.011098793

Reorder the terms:
-1.333333334 + x = 5.011098793

Solving
-1.333333334 + x = 5.011098793

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 = 5.011098793 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = 5.011098793 + 1.333333334
x = 5.011098793 + 1.333333334

Combine like terms: 5.011098793 + 1.333333334 = 6.344432127
x = 6.344432127

Simplifying
x = 6.344432127


Subproblem 2
x + -1.333333334 = -5.011098793

Simplifying
x + -1.333333334 = -5.011098793

Reorder the terms:
-1.333333334 + x = -5.011098793

Solving
-1.333333334 + x = -5.011098793

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 = -5.011098793 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = -5.011098793 + 1.333333334
x = -5.011098793 + 1.333333334

Combine like terms: -5.011098793 + 1.333333334 = -3.677765459
x = -3.677765459

Simplifying
x = -3.677765459


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.344432127, -3.677765459}

See similar equations:

| -85=-2x-3(-5x-15) | | -85=-2x+2(-5x-15) | | w-7+2(2w+9)=-4(w+1) | | 5y^2+12Y-17=0 | | 7(w+8)=3w+24 | | 9x-7=2(x+7) | | 53=7x-2(x-9) | | 4x-4y=836 | | -9(x+3)=9x+27 | | 2x-2=35-8 | | 11d+7=9d+21 | | 8(x+1)=64 | | 2u+14=-8(u-5) | | 12x+6x^2=0 | | 4x^2=19+30 | | log×(64/27)=3 | | 3x-14=8x+10 | | 4x+3(5x+13)=-132 | | 13x-1=-16 | | 24x+9=-16x^2 | | x-1/2-x-2/3=1/4 | | 6x-5(x+10)=-42 | | 4y-5=y+10 | | 2ab-7ab+6ab-3ab= | | 2x-15=9x+3 | | Z=4-6 | | 31=7x+4(-4x-17) | | Z=-2-6 | | 4y-48=20 | | 2x+6-X-4=0 | | (2r-8)(4r-7)=0 | | 6x-5(x+10)=42 |

Equations solver categories