64x^2-144x+585=0

Simple and best practice solution for 64x^2-144x+585=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 64x^2-144x+585=0 equation:


Simplifying
64x2 + -144x + 585 = 0

Reorder the terms:
585 + -144x + 64x2 = 0

Solving
585 + -144x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
9.140625 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-9.140625' to each side of the equation.
9.140625 + -2.25x + -9.140625 + x2 = 0 + -9.140625

Reorder the terms:
9.140625 + -9.140625 + -2.25x + x2 = 0 + -9.140625

Combine like terms: 9.140625 + -9.140625 = 0.000000
0.000000 + -2.25x + x2 = 0 + -9.140625
-2.25x + x2 = 0 + -9.140625

Combine like terms: 0 + -9.140625 = -9.140625
-2.25x + x2 = -9.140625

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -9.140625 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -9.140625 + 1.265625

Combine like terms: -9.140625 + 1.265625 = -7.875
1.265625 + -2.25x + x2 = -7.875

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -7.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x/4-3=33 | | 9y=5-(y+6) | | -6(7x-8)=12 | | c+160=1850 | | n+7=8n | | -100=-7x-5(8+x) | | -0.7+1.15=-0.4x+1.75 | | 4y^2=12 | | (4m+5)2= | | 1.83/9 | | -31=x-54 | | 5x-7=2(3x-5) | | 4(t-3)+5t=t-3 | | 12x^2+33x-9=y | | 1.4x-4.8=0.6x-3.28 | | 750000+5+800000+3=1x | | 1.5x+2.7=0.8+0.95 | | 88-w=173 | | 3/(2x-3)=2/(x+5) | | 4x+1/7x=6 | | 750000+5x=800000+3x | | 4x-8+3x=12+6x | | y-26=-28 | | -6+3(-1-b)=19 | | (3x+6)+(3x)+(3x+5)=(3x)+(3x)+(4x+6) | | -3x+7=2y+9 | | 5+3(x-2)=-1 | | 2/3(3x+5)=-24 | | 4/9=-y/3 | | 9x+1=10x+12 | | 5x-4x(x-3)=17 | | -8.1=-13.4-1.4x |

Equations solver categories