5x^2-7x+16=0

Simple and best practice solution for 5x^2-7x+16=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 5x^2-7x+16=0 equation:


Simplifying
5x2 + -7x + 16 = 0

Reorder the terms:
16 + -7x + 5x2 = 0

Solving
16 + -7x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
3.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -1.4x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -1.4x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -1.4x + x2 = 0 + -3.2
-1.4x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-1.4x + x2 = -3.2

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -3.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -3.2 + 0.49

Combine like terms: -3.2 + 0.49 = -2.71
0.49 + -1.4x + x2 = -2.71

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -2.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -28=r-17 | | 5(7g+2)=55 | | x-(-7)=19 | | -3(4s-3)-9=-3(7s+3)-4 | | m-13=-20 | | 39=x+20 | | 163-4x=41x+18 | | 227-7x=38x+22 | | 14-7x=54-42x | | 11-7x=23-14x | | -0.5b+11=38-0.2b | | 3x+10=-70-7x | | -33-8x=9x+18 | | -1-5x=11-7x | | 4x-6x-5+2=6x-2+23 | | x+4.7=10 | | 37-3x=6x+16 | | 0.2a+25=40 | | 11-10x=77-31x | | -116-9x=10x+17 | | 4x+11=-11-7x | | 97-4x=2x+19 | | r-17=5r+27 | | -25-3x=10-8x | | 3x+14=63-4x | | .7w-.3w+.1w=3 | | 8x-6x-4x=6 | | 5x+72=10+12 | | 30x=6y-4 | | 9+6x=54+x | | -3x-12=-30 | | -x-3=-4 |

Equations solver categories