x(3-x)=7

Simple and best practice solution for x(3-x)=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 x(3-x)=7 equation:


Simplifying
x(3 + -1x) = 7
(3 * x + -1x * x) = 7
(3x + -1x2) = 7

Solving
3x + -1x2 = 7

Solving for variable 'x'.

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

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
7 + -3x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + x2 = 0 + -7

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7 + 2.25

Combine like terms: -7 + 2.25 = -4.75
2.25 + -3x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7+10=410 | | 9h-21=60 | | -y/-3=7 | | -1+x=-4x-61 | | 2x^2-16x-76=0 | | b/-9=9 | | -5x-33=17-7x | | 11/6=x/6 | | -4x-1=3 | | -88+3x=-5x+136 | | 3x+9y=0 | | -14.81x=13.46 | | -5(-6)(-3)(2)= | | -26+6x=58+3x | | -0.0003k-0.03k-0.3k-666=0 | | 2x+3=6x+31 | | (11x^2+8x-11)+3(-4x^2-2x-2)= | | 9(5y-3)-7(7y-4)=y | | -2x+3=2x+7 | | -6(.2x+.5)-.9=-.3 | | 3(2y-8)-y=-3(y-1)+2 | | 2=-7-9x+10x | | 2(x-10)+4x=34 | | x-1-3y=-3 | | y(x)=x*3-4*x | | 2Cos(x)+2Cos(2x)=0 | | 5.7x5/3 | | 250/20=750/x | | x/29=42/87 | | 9(h-1)+1=11 | | 2y^4-3xy=6+4x^3 | | 3(v-6)+1=2v-(6-v)+8v |

Equations solver categories