12-4x(1-x)=x^2-2x-7

Simple and best practice solution for 12-4x(1-x)=x^2-2x-7 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 12-4x(1-x)=x^2-2x-7 equation: 


Simplifying
12 + -4x(1 + -1x) = x2 + -2x + -7
12 + (1 * -4x + -1x * -4x) = x2 + -2x + -7
12 + (-4x + 4x2) = x2 + -2x + -7

Reorder the terms:
12 + -4x + 4x2 = -7 + -2x + x2

Solving
12 + -4x + 4x2 = -7 + -2x + x2

Solving for variable 'x'.

Reorder the terms:
12 + 7 + -4x + 2x + 4x2 + -1x2 = -7 + -2x + x2 + 7 + 2x + -1x2

Combine like terms: 12 + 7 = 19
19 + -4x + 2x + 4x2 + -1x2 = -7 + -2x + x2 + 7 + 2x + -1x2

Combine like terms: -4x + 2x = -2x
19 + -2x + 4x2 + -1x2 = -7 + -2x + x2 + 7 + 2x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
19 + -2x + 3x2 = -7 + -2x + x2 + 7 + 2x + -1x2

Reorder the terms:
19 + -2x + 3x2 = -7 + 7 + -2x + 2x + x2 + -1x2

Combine like terms: -7 + 7 = 0
19 + -2x + 3x2 = 0 + -2x + 2x + x2 + -1x2
19 + -2x + 3x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
19 + -2x + 3x2 = 0 + x2 + -1x2
19 + -2x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -2x + 3x2 = 0

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

Divide each side by '3'.
6.333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-6.333333333' to each side of the equation.
6.333333333 + -0.6666666667x + -6.333333333 + x2 = 0 + -6.333333333

Reorder the terms:
6.333333333 + -6.333333333 + -0.6666666667x + x2 = 0 + -6.333333333

Combine like terms: 6.333333333 + -6.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -6.333333333
-0.6666666667x + x2 = 0 + -6.333333333

Combine like terms: 0 + -6.333333333 = -6.333333333
-0.6666666667x + x2 = -6.333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -6.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -6.333333333 + 0.1111111112

Combine like terms: -6.333333333 + 0.1111111112 = -6.2222222218
0.1111111112 + -0.6666666667x + x2 = -6.2222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -6.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5+3(y-4)=5(y+2)-y | | (v)/(-6)+2=-1 | | 3(x+2)=23 | | x+[x(.20)]=14.99 | | 2s+9p=tp-9 | | 11-10x=141-45x | | v-6+2=11 | | x/0.4=10 | | 1x+19=23 | | 5.1x+19=23 | | 3x^2(3x^3+5x-4)-5x^3(x^2-6)= | | x+3=-2x-9 | | 3y-yz=2z | | 14x+8=12x+20 | | 2x+12+8x-2=90 | | a(y+c)=b(y-c) | | (m)/(-4)+5=14 | | -9+8.5-12.8= | | 5/4=3x | | 11x-133=5x-13 | | 2x+3-(3*5x)-5=4x+6 | | 60-15+3n=3x | | (x)/(2)+7=11 | | 2x+3(3*5x)-5=4x+6 | | .8x=15 | | x=4+39 | | 66-4x=23x+18 | | a=lw+wh+lh | | 12-9x=142-44x | | 5[3-3(x+1)]+1=2(-24-x)+2x+24 | | 2x+5x*3=23 | | 5+3a=-1 |

Equations solver categories