15x^2+4x-64=0

Simple and best practice solution for 15x^2+4x-64=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 15x^2+4x-64=0 equation: 


Simplifying
15x2 + 4x + -64 = 0

Reorder the terms:
-64 + 4x + 15x2 = 0

Solving
-64 + 4x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
-4.266666667 + 0.2666666667x + x2 = 0

Move the constant term to the right:

Add '4.266666667' to each side of the equation.
-4.266666667 + 0.2666666667x + 4.266666667 + x2 = 0 + 4.266666667

Reorder the terms:
-4.266666667 + 4.266666667 + 0.2666666667x + x2 = 0 + 4.266666667

Combine like terms: -4.266666667 + 4.266666667 = 0.000000000
0.000000000 + 0.2666666667x + x2 = 0 + 4.266666667
0.2666666667x + x2 = 0 + 4.266666667

Combine like terms: 0 + 4.266666667 = 4.266666667
0.2666666667x + x2 = 4.266666667

The x term is 0.2666666667x.  Take half its coefficient (0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
0.2666666667x + 0.01777777780 + x2 = 4.266666667 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667x + x2 = 4.266666667 + 0.01777777780

Combine like terms: 4.266666667 + 0.01777777780 = 4.2844444448
0.01777777780 + 0.2666666667x + x2 = 4.2844444448

Factor a perfect square on the left side:
(x + 0.1333333334)(x + 0.1333333334) = 4.2844444448

Calculate the square root of the right side: 2.06988996

Break this problem into two subproblems by setting 
(x + 0.1333333334) equal to 2.06988996 and -2.06988996.


Subproblem 1
x + 0.1333333334 = 2.06988996

Simplifying
x + 0.1333333334 = 2.06988996

Reorder the terms:
0.1333333334 + x = 2.06988996

Solving
0.1333333334 + x = 2.06988996

Solving for variable 'x'.

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

Add '-0.1333333334' to each side of the equation.
0.1333333334 + -0.1333333334 + x = 2.06988996 + -0.1333333334

Combine like terms: 0.1333333334 + -0.1333333334 = 0.0000000000
0.0000000000 + x = 2.06988996 + -0.1333333334
x = 2.06988996 + -0.1333333334

Combine like terms: 2.06988996 + -0.1333333334 = 1.9365566266
x = 1.9365566266

Simplifying
x = 1.9365566266


Subproblem 2
x + 0.1333333334 = -2.06988996

Simplifying
x + 0.1333333334 = -2.06988996

Reorder the terms:
0.1333333334 + x = -2.06988996

Solving
0.1333333334 + x = -2.06988996

Solving for variable 'x'.

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

Add '-0.1333333334' to each side of the equation.
0.1333333334 + -0.1333333334 + x = -2.06988996 + -0.1333333334

Combine like terms: 0.1333333334 + -0.1333333334 = 0.0000000000
0.0000000000 + x = -2.06988996 + -0.1333333334
x = -2.06988996 + -0.1333333334

Combine like terms: -2.06988996 + -0.1333333334 = -2.2032232934
x = -2.2032232934

Simplifying
x = -2.2032232934


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.9365566266, -2.2032232934}

See similar equations:

| 92+n=47A(n) | | .250(6.721-2.44x)= | | 3X^2-8x-87=0 | | 92+n=47(n) | | 2x*ln(x-2)=0 | | T=c(8+an) | | 5c+5=25+c | | 12x-x/2=3 | | 4(6x+7)=-4 | | 3+4[5+4(3)]=x | | 7+4u=16+3u | | 38318-196y^2=782y | | T+3=t^2+1 | | -20x^2+80=0 | | 8-2(3x+7)=6-8x | | 38318-196*y*y=782y | | 4x-8lnx= | | 15+12=c | | (k-6)/(-5-4) | | 5-(6x-12)=0 | | x-0.04=192 | | 3+2h-3j+h-4= | | 5(2a-12)=30 | | P^2-2px+x^2-y^2=o | | 3s+2r-7+4= | | 9(6-x)=12 | | N+10=100n+10-10-10 | | 2-18x=6(-3x+5) | | 6y^2-4=-5y | | 10x+35=3x-3 | | -5/3*(-4)*2/-9 | | 7p+8q=11 |

Equations solver categories