(8x-1)(8x-1)=-49

Simple and best practice solution for (8x-1)(8x-1)=-49 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 (8x-1)(8x-1)=-49 equation: 


Simplifying
(8x + -1)(8x + -1) = -49

Reorder the terms:
(-1 + 8x)(8x + -1) = -49

Reorder the terms:
(-1 + 8x)(-1 + 8x) = -49

Multiply (-1 + 8x) * (-1 + 8x)
(-1(-1 + 8x) + 8x * (-1 + 8x)) = -49
((-1 * -1 + 8x * -1) + 8x * (-1 + 8x)) = -49
((1 + -8x) + 8x * (-1 + 8x)) = -49
(1 + -8x + (-1 * 8x + 8x * 8x)) = -49
(1 + -8x + (-8x + 64x2)) = -49

Combine like terms: -8x + -8x = -16x
(1 + -16x + 64x2) = -49

Solving
1 + -16x + 64x2 = -49

Solving for variable 'x'.

Reorder the terms:
1 + 49 + -16x + 64x2 = -49 + 49

Combine like terms: 1 + 49 = 50
50 + -16x + 64x2 = -49 + 49

Combine like terms: -49 + 49 = 0
50 + -16x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -8x + 32x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + -8x + 32x2)' equal to zero and attempt to solve:

Simplifying
25 + -8x + 32x2 = 0

Solving
25 + -8x + 32x2 = 0

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

Divide each side by '32'.
0.78125 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.78125' to each side of the equation.
0.78125 + -0.25x + -0.78125 + x2 = 0 + -0.78125

Reorder the terms:
0.78125 + -0.78125 + -0.25x + x2 = 0 + -0.78125

Combine like terms: 0.78125 + -0.78125 = 0.00000
0.00000 + -0.25x + x2 = 0 + -0.78125
-0.25x + x2 = 0 + -0.78125

Combine like terms: 0 + -0.78125 = -0.78125
-0.25x + x2 = -0.78125

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.78125 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.78125 + 0.015625

Combine like terms: -0.78125 + 0.015625 = -0.765625
0.015625 + -0.25x + x2 = -0.765625

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.765625

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:

| (x+9)(x+9)=25 | | (x+9)(x+9)=24 | | 8(x-2)-5(x+4)=-20+x | | 5z^2-105=0 | | 2(3z+4)=2(3z-2)+13 | | x+13=-26 | | 3x-4y=-3 | | 3x+5=197 | | 16(3x-3)=4(12x+8) | | 3(a+2)=2(a+7) | | 4(y+2)=1-2(y+4) | | 0.6x=2 | | 12=-2x+3x+1 | | 4x-5+7=2x-14 | | 2y-2x=9 | | s+(3s+0.22)+(-012)=4.6 | | 9-2x= | | 7k-5k=1 | | 104x+33y+180z=458.5 | | 5+2=-13 | | 5+2=13 | | 10=2x-1 | | 10-5h+2=33 | | 44=4y | | 12y^2-11y-5=0 | | 12x-4x=56 | | -14x=168 | | X+12=30-2x | | 5(2x+1)=12x-1 | | 65=15x-10x | | -3-3=6x | | -4x+12=2x+18 |

Equations solver categories