16X^2+74X+240=

Simple and best practice solution for 16X^2+74X+240= 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 16X^2+74X+240= equation: 


Simplifying
16X2 + 74X + 240 = 0

Reorder the terms:
240 + 74X + 16X2 = 0

Solving
240 + 74X + 16X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(120 + 37X + 8X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(120 + 37X + 8X2)' equal to zero and attempt to solve:

Simplifying
120 + 37X + 8X2 = 0

Solving
120 + 37X + 8X2 = 0

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

Divide each side by '8'.
15 + 4.625X + X2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 4.625X + -15 + X2 = 0 + -15

Reorder the terms:
15 + -15 + 4.625X + X2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4.625X + X2 = 0 + -15
4.625X + X2 = 0 + -15

Combine like terms: 0 + -15 = -15
4.625X + X2 = -15

The X term is 4.625X.  Take half its coefficient (2.3125).
Square it (5.34765625) and add it to both sides.

Add '5.34765625' to each side of the equation.
4.625X + 5.34765625 + X2 = -15 + 5.34765625

Reorder the terms:
5.34765625 + 4.625X + X2 = -15 + 5.34765625

Combine like terms: -15 + 5.34765625 = -9.65234375
5.34765625 + 4.625X + X2 = -9.65234375

Factor a perfect square on the left side:
(X + 2.3125)(X + 2.3125) = -9.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 0.1x+0.04(x-8)=5 | | 6=5(2-d)+3d | | P=16+0.2p | | (x+2i)(x-2i)= | | 100+x+10=180 | | H=16X^2+74X+240 | | 3.4x-5-2x=-2.2 | | 0.03(x-10)+0.04x=7 | | t=ex+2 | | 2sin(30+x)=3cos(x) | | -2(x-5)=12-x | | 4g-5g+7=-1 | | 78+x+28=180 | | 5(x-10)-x=5 | | -2(x+15)=12-x | | 3r^2= | | 11w+6= | | -8-5(8x-4)=7(3x-8)+7 | | 15-5k= | | 11(z+4)-(z-1)=2(z-2)+4(z-1) | | 4c^8-8c^5=0 | | -6x+4=9-3x | | -2x+18=6-3x | | Fx=x^2-4x+7 | | 50-2x=-8 | | m(0)=4x^2+10x+19 | | 5/8a+6=3/4 | | 4x^2+10x+19=0 | | 5+14(8t)=2(-7t)+1 | | X*(x+49)=750 | | X*x+49=750 | | -7x^2+16x-6=0 |

Equations solver categories