15x^2-38x-16=0e

Simple and best practice solution for 15x^2-38x-16=0e 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^2-38x-16=0e equation:


Simplifying
15x2 + -38x + -16 = 0e

Reorder the terms:
-16 + -38x + 15x2 = 0e

Anything times zero is zero.
-16 + -38x + 15x2 = 0e

Solving
-16 + -38x + 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'.
-1.066666667 + -2.533333333x + x2 = 0

Move the constant term to the right:

Add '1.066666667' to each side of the equation.
-1.066666667 + -2.533333333x + 1.066666667 + x2 = 0 + 1.066666667

Reorder the terms:
-1.066666667 + 1.066666667 + -2.533333333x + x2 = 0 + 1.066666667

Combine like terms: -1.066666667 + 1.066666667 = 0.000000000
0.000000000 + -2.533333333x + x2 = 0 + 1.066666667
-2.533333333x + x2 = 0 + 1.066666667

Combine like terms: 0 + 1.066666667 = 1.066666667
-2.533333333x + x2 = 1.066666667

The x term is -2.533333333x.  Take half its coefficient (-1.266666667).
Square it (1.604444445) and add it to both sides.

Add '1.604444445' to each side of the equation.
-2.533333333x + 1.604444445 + x2 = 1.066666667 + 1.604444445

Reorder the terms:
1.604444445 + -2.533333333x + x2 = 1.066666667 + 1.604444445

Combine like terms: 1.066666667 + 1.604444445 = 2.671111112
1.604444445 + -2.533333333x + x2 = 2.671111112

Factor a perfect square on the left side:
(x + -1.266666667)(x + -1.266666667) = 2.671111112

Calculate the square root of the right side: 1.634353423

Break this problem into two subproblems by setting 
(x + -1.266666667) equal to 1.634353423 and -1.634353423.

Subproblem 1

x + -1.266666667 = 1.634353423 Simplifying x + -1.266666667 = 1.634353423 Reorder the terms: -1.266666667 + x = 1.634353423 Solving -1.266666667 + x = 1.634353423 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.266666667' to each side of the equation. -1.266666667 + 1.266666667 + x = 1.634353423 + 1.266666667 Combine like terms: -1.266666667 + 1.266666667 = 0.000000000 0.000000000 + x = 1.634353423 + 1.266666667 x = 1.634353423 + 1.266666667 Combine like terms: 1.634353423 + 1.266666667 = 2.90102009 x = 2.90102009 Simplifying x = 2.90102009

Subproblem 2

x + -1.266666667 = -1.634353423 Simplifying x + -1.266666667 = -1.634353423 Reorder the terms: -1.266666667 + x = -1.634353423 Solving -1.266666667 + x = -1.634353423 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.266666667' to each side of the equation. -1.266666667 + 1.266666667 + x = -1.634353423 + 1.266666667 Combine like terms: -1.266666667 + 1.266666667 = 0.000000000 0.000000000 + x = -1.634353423 + 1.266666667 x = -1.634353423 + 1.266666667 Combine like terms: -1.634353423 + 1.266666667 = -0.367686756 x = -0.367686756 Simplifying x = -0.367686756

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.90102009, -0.367686756}

See similar equations:

| -(7y-5)-(-6y-4)=-3 | | 16x+4=36 | | -(7y-5)-(6y-4)=-3 | | 15a-20a=5a | | 2x+10=5a | | 0.75x+.05(8-x)=.10(-66) | | -(7y+2)-(-6y-3)=-2 | | 4x=7-x^2 | | 2t+15=-6t-9 | | 1/4-100= | | (6s+5)(6s+5)=0 | | 6s+5=0 | | 8s-3=0 | | 9(x+7)-3x=6(x+5)-3 | | x^2+4x+4-x^2=40 | | x^3+5x^2+6x+30= | | =a^2*b+c^3 | | -5x^2+x+7=x-53 | | 2(x^2+2x-3)-(x^2+3x)=66 | | 0.50x+.05(20-x)=.10(73) | | w(w+3)+66=2(2w+6)(w-1) | | 4(6-2x)-2(3-2x)=-2x | | -(7y+1)-(-6y-5)=2 | | a^2=32-4a | | -(5y+1)-(-4y-4)=1 | | 3(y+6)=4(4-8) | | 19m=15 | | -(4y-2)-(-3y-5)=6 | | 2(x-1)(x+3)-x(x+3)=66 | | -(4-2)-(-3y-5)=6 | | 2(x+3)(x-1)=66 | | 2-x=2(x-3) |

Equations solver categories