-32x^2+32x-8=32

Simple and best practice solution for -32x^2+32x-8=32 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 -32x^2+32x-8=32 equation: 


Simplifying
-32x2 + 32x + -8 = 32

Reorder the terms:
-8 + 32x + -32x2 = 32

Solving
-8 + 32x + -32x2 = 32

Solving for variable 'x'.

Reorder the terms:
-8 + -32 + 32x + -32x2 = 32 + -32

Combine like terms: -8 + -32 = -40
-40 + 32x + -32x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-40 + 32x + -32x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-5 + 4x + -4x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-5 + 4x + -4x2)' equal to zero and attempt to solve:

Simplifying
-5 + 4x + -4x2 = 0

Solving
-5 + 4x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1x + x2 = 0 + -1.25
-1x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1x + x2 = -1.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -1x + x2 = -1

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1

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:

| 6x^2+12x=-5 | | 7x^2-41x+45=0 | | 65/185 | | C^2+4c-7=0 | | -5x^2+10x-2=0 | | 2xsquared+-25-13= | | log(7x+8)=1+log(x-2) | | R^2-12t+20=0 | | 3a+2b=300 | | X^2-9/4x-25=0 | | 2xsquared-25x-13= | | 3x-6=30-9x | | 6(u-6)=8u-42 | | 2k(k-1)=12 | | 2b^2-4b=0 | | 2b^2=4b | | x^2-2x-3=45 | | 8x+10x=-3 | | y=x^2+16x-80 | | (x+-3)(x+5)+-9=0 | | (x-3)(x+5)-9=9 | | 7y-4=15-3y | | R^2-4t=0 | | x+(x-1)+(x-2)+(x-3)=14 | | 1/8x5/6 | | 11x+17y=6800 | | -8(0.1x+0.3)-2.5=0.1 | | q^2+q-30=0 | | v^2+8v+7=p | | 10r-20+2r+12=180 | | 0=25x^2-16 | | x-27.7=-17 |

Equations solver categories